5(n+2)-2(n+2)=-9

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Solution for 5(n+2)-2(n+2)=-9 equation:


Simplifying
5(n + 2) + -2(n + 2) = -9

Reorder the terms:
5(2 + n) + -2(n + 2) = -9
(2 * 5 + n * 5) + -2(n + 2) = -9
(10 + 5n) + -2(n + 2) = -9

Reorder the terms:
10 + 5n + -2(2 + n) = -9
10 + 5n + (2 * -2 + n * -2) = -9
10 + 5n + (-4 + -2n) = -9

Reorder the terms:
10 + -4 + 5n + -2n = -9

Combine like terms: 10 + -4 = 6
6 + 5n + -2n = -9

Combine like terms: 5n + -2n = 3n
6 + 3n = -9

Solving
6 + 3n = -9

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + -6 + 3n = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 3n = -9 + -6
3n = -9 + -6

Combine like terms: -9 + -6 = -15
3n = -15

Divide each side by '3'.
n = -5

Simplifying
n = -5

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