84=-7(n-4)

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Solution for 84=-7(n-4) equation:


Simplifying
84 = -7(n + -4)

Reorder the terms:
84 = -7(-4 + n)
84 = (-4 * -7 + n * -7)
84 = (28 + -7n)

Solving
84 = 28 + -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.
84 + 7n = 28 + -7n + 7n

Combine like terms: -7n + 7n = 0
84 + 7n = 28 + 0
84 + 7n = 28

Add '-84' to each side of the equation.
84 + -84 + 7n = 28 + -84

Combine like terms: 84 + -84 = 0
0 + 7n = 28 + -84
7n = 28 + -84

Combine like terms: 28 + -84 = -56
7n = -56

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

Simplifying
n = -8

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