48=-(n-8)+8(n-2)

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Solution for 48=-(n-8)+8(n-2) equation: 


Simplifying
48 = -1(n + -8) + 8(n + -2)

Reorder the terms:
48 = -1(-8 + n) + 8(n + -2)
48 = (-8 * -1 + n * -1) + 8(n + -2)
48 = (8 + -1n) + 8(n + -2)

Reorder the terms:
48 = 8 + -1n + 8(-2 + n)
48 = 8 + -1n + (-2 * 8 + n * 8)
48 = 8 + -1n + (-16 + 8n)

Reorder the terms:
48 = 8 + -16 + -1n + 8n

Combine like terms: 8 + -16 = -8
48 = -8 + -1n + 8n

Combine like terms: -1n + 8n = 7n
48 = -8 + 7n

Solving
48 = -8 + 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.
48 + -7n = -8 + 7n + -7n

Combine like terms: 7n + -7n = 0
48 + -7n = -8 + 0
48 + -7n = -8

Add '-48' to each side of the equation.
48 + -48 + -7n = -8 + -48

Combine like terms: 48 + -48 = 0
0 + -7n = -8 + -48
-7n = -8 + -48

Combine like terms: -8 + -48 = -56
-7n = -56

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

Simplifying
n = 8

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