Simplify 2/9*(45*(-27y)+18z)

Math
29⋅(45⋅(-27y)+18z)
Multiply -27 by 45.
29⋅(-1215y+18z)
Simplify terms.
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Apply the distributive property.
29(-1215y)+29(18z)
Cancel the common factor of 9.
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Factor 9 out of -1215y.
29(9(-135y))+29(18z)
Cancel the common factor.
29(9(-135y))+29(18z)
Rewrite the expression.
2(-135y)+29(18z)
2(-135y)+29(18z)
Multiply -135 by 2.
-270y+29(18z)
Cancel the common factor of 9.
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Factor 9 out of 18z.
-270y+29(9(2z))
Cancel the common factor.
-270y+29(9(2z))
Rewrite the expression.
-270y+2(2z)
-270y+2(2z)
Multiply 2 by 2.
-270y+4z
-270y+4z
Simplify 2/9*(45*(-27y)+18z)

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