-8(n-4)=-7n-6

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Solution for -8(n-4)=-7n-6 equation:


Simplifying
-8(n + -4) = -7n + -6

Reorder the terms:
-8(-4 + n) = -7n + -6
(-4 * -8 + n * -8) = -7n + -6
(32 + -8n) = -7n + -6

Reorder the terms:
32 + -8n = -6 + -7n

Solving
32 + -8n = -6 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
32 + -8n + 7n = -6 + -7n + 7n

Combine like terms: -8n + 7n = -1n
32 + -1n = -6 + -7n + 7n

Combine like terms: -7n + 7n = 0
32 + -1n = -6 + 0
32 + -1n = -6

Add '-32' to each side of the equation.
32 + -32 + -1n = -6 + -32

Combine like terms: 32 + -32 = 0
0 + -1n = -6 + -32
-1n = -6 + -32

Combine like terms: -6 + -32 = -38
-1n = -38

Divide each side by '-1'.
n = 38

Simplifying
n = 38

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