n+8(6+n)=-7n+32

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Solution for n+8(6+n)=-7n+32 equation: 


Simplifying
n + 8(6 + n) = -7n + 32
n + (6 * 8 + n * 8) = -7n + 32
n + (48 + 8n) = -7n + 32

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

Combine like terms: n + 8n = 9n
48 + 9n = -7n + 32

Reorder the terms:
48 + 9n = 32 + -7n

Solving
48 + 9n = 32 + -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 + 9n + 7n = 32 + -7n + 7n

Combine like terms: 9n + 7n = 16n
48 + 16n = 32 + -7n + 7n

Combine like terms: -7n + 7n = 0
48 + 16n = 32 + 0
48 + 16n = 32

Add '-48' to each side of the equation.
48 + -48 + 16n = 32 + -48

Combine like terms: 48 + -48 = 0
0 + 16n = 32 + -48
16n = 32 + -48

Combine like terms: 32 + -48 = -16
16n = -16

Divide each side by '16'.
n = -1

Simplifying
n = -1

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