-7(n+2)+16=-3n-14

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Solution for -7(n+2)+16=-3n-14 equation:


Simplifying
-7(n + 2) + 16 = -3n + -14

Reorder the terms:
-7(2 + n) + 16 = -3n + -14
(2 * -7 + n * -7) + 16 = -3n + -14
(-14 + -7n) + 16 = -3n + -14

Reorder the terms:
-14 + 16 + -7n = -3n + -14

Combine like terms: -14 + 16 = 2
2 + -7n = -3n + -14

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

Solving
2 + -7n = -14 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
2 + -7n + 3n = -14 + -3n + 3n

Combine like terms: -7n + 3n = -4n
2 + -4n = -14 + -3n + 3n

Combine like terms: -3n + 3n = 0
2 + -4n = -14 + 0
2 + -4n = -14

Add '-2' to each side of the equation.
2 + -2 + -4n = -14 + -2

Combine like terms: 2 + -2 = 0
0 + -4n = -14 + -2
-4n = -14 + -2

Combine like terms: -14 + -2 = -16
-4n = -16

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

Simplifying
n = 4

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