-3n+16=-7-7(n-1)

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Solution for -3n+16=-7-7(n-1) equation: 


Simplifying
-3n + 16 = -7 + -7(n + -1)

Reorder the terms:
16 + -3n = -7 + -7(n + -1)

Reorder the terms:
16 + -3n = -7 + -7(-1 + n)
16 + -3n = -7 + (-1 * -7 + n * -7)
16 + -3n = -7 + (7 + -7n)

Combine like terms: -7 + 7 = 0
16 + -3n = 0 + -7n
16 + -3n = -7n

Solving
16 + -3n = -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.
16 + -3n + 7n = -7n + 7n

Combine like terms: -3n + 7n = 4n
16 + 4n = -7n + 7n

Combine like terms: -7n + 7n = 0
16 + 4n = 0

Add '-16' to each side of the equation.
16 + -16 + 4n = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 4n = 0 + -16
4n = 0 + -16

Combine like terms: 0 + -16 = -16
4n = -16

Divide each side by '4'.
n = -4

Simplifying
n = -4

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