7(n+2)-5=-2(n+3)

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Solution for 7(n+2)-5=-2(n+3) equation:


Simplifying
7(n + 2) + -5 = -2(n + 3)

Reorder the terms:
7(2 + n) + -5 = -2(n + 3)
(2 * 7 + n * 7) + -5 = -2(n + 3)
(14 + 7n) + -5 = -2(n + 3)

Reorder the terms:
14 + -5 + 7n = -2(n + 3)

Combine like terms: 14 + -5 = 9
9 + 7n = -2(n + 3)

Reorder the terms:
9 + 7n = -2(3 + n)
9 + 7n = (3 * -2 + n * -2)
9 + 7n = (-6 + -2n)

Solving
9 + 7n = -6 + -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.
9 + 7n + 2n = -6 + -2n + 2n

Combine like terms: 7n + 2n = 9n
9 + 9n = -6 + -2n + 2n

Combine like terms: -2n + 2n = 0
9 + 9n = -6 + 0
9 + 9n = -6

Add '-9' to each side of the equation.
9 + -9 + 9n = -6 + -9

Combine like terms: 9 + -9 = 0
0 + 9n = -6 + -9
9n = -6 + -9

Combine like terms: -6 + -9 = -15
9n = -15

Divide each side by '9'.
n = -1.666666667

Simplifying
n = -1.666666667

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