Combine 14/9k+11/9-2k+2/9+2/9k-5

Math
149k+119-2k+29+29k-5
Combine fractions with similar denominators.
149k-2k+29k-5+11+29
Add 11 and 2.
149k-2k+29k-5+139
Find the common denominator.
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Write 149k as a fraction with denominator 1.
149k1-2k+29k-5+139
Multiply 149k1 by 99.
149k1⋅99-2k+29k-5+139
Multiply 149k1 and 99.
149k⋅99-2k+29k-5+139
Write -2k as a fraction with denominator 1.
149k⋅99+-2k1+29k-5+139
Multiply -2k1 by 99.
149k⋅99+-2k1⋅99+29k-5+139
Multiply -2k1 and 99.
149k⋅99+-2k⋅99+29k-5+139
Write 29k as a fraction with denominator 1.
149k⋅99+-2k⋅99+29k1-5+139
Multiply 29k1 by 99.
149k⋅99+-2k⋅99+29k1⋅99-5+139
Multiply 29k1 and 99.
149k⋅99+-2k⋅99+29k⋅99-5+139
Write -5 as a fraction with denominator 1.
149k⋅99+-2k⋅99+29k⋅99+-51+139
Multiply -51 by 99.
149k⋅99+-2k⋅99+29k⋅99+-51⋅99+139
Multiply -51 and 99.
149k⋅99+-2k⋅99+29k⋅99+-5⋅99+139
149k⋅99+-2k⋅99+29k⋅99+-5⋅99+139
Multiply -5 by 9.
149k⋅99+-2k⋅99+29k⋅99+-459+139
Combine the numerators over the common denominator.
149k⋅9-2k⋅9+29k⋅9-45+139
Simplify the numerator.
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Combine 149 and k.
14k9⋅9-2k⋅9+29k⋅9-45+139
Cancel the common factor of 9.
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Cancel the common factor.
14k9⋅9-2k⋅9+29k⋅9-45+139
Rewrite the expression.
14k-2k⋅9+29k⋅9-45+139
14k-2k⋅9+29k⋅9-45+139
Multiply 9 by -2.
14k-18k+29k⋅9-45+139
Combine 29 and k.
14k-18k+2k9⋅9-45+139
Cancel the common factor of 9.
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Cancel the common factor.
14k-18k+2k9⋅9-45+139
Rewrite the expression.
14k-18k+2k-45+139
14k-18k+2k-45+139
Subtract 18k from 14k.
-4k+2k-45+139
Add -4k and 2k.
-2k-45+139
Add -45 and 13.
-2k-329
Factor 2 out of -2k-32.
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Factor 2 out of -2k.
2(-k)-329
Factor 2 out of -32.
2(-k)+2(-16)9
Factor 2 out of 2(-k)+2(-16).
2(-k-16)9
2(-k-16)9
2(-k-16)9
Simplify with factoring out.
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Factor -1 out of -k.
2(-(k)-16)9
Rewrite -16 as -1(16).
2(-(k)-1(16))9
Factor -1 out of -(k)-1(16).
2(-(k+16))9
Simplify the expression.
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Rewrite -(k+16) as -1(k+16).
2(-1(k+16))9
Move the negative in front of the fraction.
-2(k+16)9
-2(k+16)9
-2(k+16)9
Combine 14/9k+11/9-2k+2/9+2/9k-5

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