-7n+6n=8(-6-5n)+8(n+6)

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Solution for -7n+6n=8(-6-5n)+8(n+6) equation:


Simplifying
-7n + 6n = 8(-6 + -5n) + 8(n + 6)

Combine like terms: -7n + 6n = -1n
-1n = 8(-6 + -5n) + 8(n + 6)
-1n = (-6 * 8 + -5n * 8) + 8(n + 6)
-1n = (-48 + -40n) + 8(n + 6)

Reorder the terms:
-1n = -48 + -40n + 8(6 + n)
-1n = -48 + -40n + (6 * 8 + n * 8)
-1n = -48 + -40n + (48 + 8n)

Reorder the terms:
-1n = -48 + 48 + -40n + 8n

Combine like terms: -48 + 48 = 0
-1n = 0 + -40n + 8n
-1n = -40n + 8n

Combine like terms: -40n + 8n = -32n
-1n = -32n

Solving
-1n = -32n

Solving for variable 'n'.

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

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

Combine like terms: -1n + 32n = 31n
31n = -32n + 32n

Combine like terms: -32n + 32n = 0
31n = 0

Divide each side by '31'.
n = 0

Simplifying
n = 0

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