7-8(-6+2n)=-(1+8n)

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Solution for 7-8(-6+2n)=-(1+8n) equation: 


Simplifying
7 + -8(-6 + 2n) = -1(1 + 8n)
7 + (-6 * -8 + 2n * -8) = -1(1 + 8n)
7 + (48 + -16n) = -1(1 + 8n)

Combine like terms: 7 + 48 = 55
55 + -16n = -1(1 + 8n)
55 + -16n = (1 * -1 + 8n * -1)
55 + -16n = (-1 + -8n)

Solving
55 + -16n = -1 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
55 + -16n + 8n = -1 + -8n + 8n

Combine like terms: -16n + 8n = -8n
55 + -8n = -1 + -8n + 8n

Combine like terms: -8n + 8n = 0
55 + -8n = -1 + 0
55 + -8n = -1

Add '-55' to each side of the equation.
55 + -55 + -8n = -1 + -55

Combine like terms: 55 + -55 = 0
0 + -8n = -1 + -55
-8n = -1 + -55

Combine like terms: -1 + -55 = -56
-8n = -56

Divide each side by '-8'.
n = 7

Simplifying
n = 7

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