251=-6(7n-8)-7

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Solution for 251=-6(7n-8)-7 equation:


Simplifying
251 = -6(7n + -8) + -7

Reorder the terms:
251 = -6(-8 + 7n) + -7
251 = (-8 * -6 + 7n * -6) + -7
251 = (48 + -42n) + -7

Reorder the terms:
251 = 48 + -7 + -42n

Combine like terms: 48 + -7 = 41
251 = 41 + -42n

Solving
251 = 41 + -42n

Solving for variable 'n'.

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

Add '42n' to each side of the equation.
251 + 42n = 41 + -42n + 42n

Combine like terms: -42n + 42n = 0
251 + 42n = 41 + 0
251 + 42n = 41

Add '-251' to each side of the equation.
251 + -251 + 42n = 41 + -251

Combine like terms: 251 + -251 = 0
0 + 42n = 41 + -251
42n = 41 + -251

Combine like terms: 41 + -251 = -210
42n = -210

Divide each side by '42'.
n = -5

Simplifying
n = -5

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