-7(6n+7)+2(1+2n)=29

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Solution for -7(6n+7)+2(1+2n)=29 equation:


Simplifying
-7(6n + 7) + 2(1 + 2n) = 29

Reorder the terms:
-7(7 + 6n) + 2(1 + 2n) = 29
(7 * -7 + 6n * -7) + 2(1 + 2n) = 29
(-49 + -42n) + 2(1 + 2n) = 29
-49 + -42n + (1 * 2 + 2n * 2) = 29
-49 + -42n + (2 + 4n) = 29

Reorder the terms:
-49 + 2 + -42n + 4n = 29

Combine like terms: -49 + 2 = -47
-47 + -42n + 4n = 29

Combine like terms: -42n + 4n = -38n
-47 + -38n = 29

Solving
-47 + -38n = 29

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '47' to each side of the equation.
-47 + 47 + -38n = 29 + 47

Combine like terms: -47 + 47 = 0
0 + -38n = 29 + 47
-38n = 29 + 47

Combine like terms: 29 + 47 = 76
-38n = 76

Divide each side by '-38'.
n = -2

Simplifying
n = -2

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