7(n+4)=-2(n+4)

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Solution for 7(n+4)=-2(n+4) equation:


Simplifying
7(n + 4) = -2(n + 4)

Reorder the terms:
7(4 + n) = -2(n + 4)
(4 * 7 + n * 7) = -2(n + 4)
(28 + 7n) = -2(n + 4)

Reorder the terms:
28 + 7n = -2(4 + n)
28 + 7n = (4 * -2 + n * -2)
28 + 7n = (-8 + -2n)

Solving
28 + 7n = -8 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
28 + 7n + 2n = -8 + -2n + 2n

Combine like terms: 7n + 2n = 9n
28 + 9n = -8 + -2n + 2n

Combine like terms: -2n + 2n = 0
28 + 9n = -8 + 0
28 + 9n = -8

Add '-28' to each side of the equation.
28 + -28 + 9n = -8 + -28

Combine like terms: 28 + -28 = 0
0 + 9n = -8 + -28
9n = -8 + -28

Combine like terms: -8 + -28 = -36
9n = -36

Divide each side by '9'.
n = -4

Simplifying
n = -4

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