2(9n-1)+7(n+6)=-60

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Solution for 2(9n-1)+7(n+6)=-60 equation: 


Simplifying
2(9n + -1) + 7(n + 6) = -60

Reorder the terms:
2(-1 + 9n) + 7(n + 6) = -60
(-1 * 2 + 9n * 2) + 7(n + 6) = -60
(-2 + 18n) + 7(n + 6) = -60

Reorder the terms:
-2 + 18n + 7(6 + n) = -60
-2 + 18n + (6 * 7 + n * 7) = -60
-2 + 18n + (42 + 7n) = -60

Reorder the terms:
-2 + 42 + 18n + 7n = -60

Combine like terms: -2 + 42 = 40
40 + 18n + 7n = -60

Combine like terms: 18n + 7n = 25n
40 + 25n = -60

Solving
40 + 25n = -60

Solving for variable 'n'.

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

Add '-40' to each side of the equation.
40 + -40 + 25n = -60 + -40

Combine like terms: 40 + -40 = 0
0 + 25n = -60 + -40
25n = -60 + -40

Combine like terms: -60 + -40 = -100
25n = -100

Divide each side by '25'.
n = -4

Simplifying
n = -4

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