Solve for n 12(n+12)+5(13n-5)=42

Math
12(n+12)+5(13n-5)=42
Simplify 12(n+12)+5(13n-5).
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Simplify each term.
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Apply the distributive property.
12n+12⋅12+5(13n-5)=42
Multiply 12 by 12.
12n+144+5(13n-5)=42
Apply the distributive property.
12n+144+5(13n)+5⋅-5=42
Multiply 13 by 5.
12n+144+65n+5⋅-5=42
Multiply 5 by -5.
12n+144+65n-25=42
12n+144+65n-25=42
Simplify by adding terms.
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Add 12n and 65n.
77n+144-25=42
Subtract 25 from 144.
77n+119=42
77n+119=42
77n+119=42
Move all terms not containing n to the right side of the equation.
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Subtract 119 from both sides of the equation.
77n=42-119
Subtract 119 from 42.
77n=-77
77n=-77
Divide each term by 77 and simplify.
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Divide each term in 77n=-77 by 77.
77n77=-7777
Cancel the common factor of 77.
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Cancel the common factor.
77n77=-7777
Divide n by 1.
n=-7777
n=-7777
Divide -77 by 77.
n=-1
n=-1
Solve for n 12(n+12)+5(13n-5)=42

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