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

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


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

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

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

Solving
-16 + -3n = 14 + 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.
-16 + -3n + -7n = 14 + 7n + -7n

Combine like terms: -3n + -7n = -10n
-16 + -10n = 14 + 7n + -7n

Combine like terms: 7n + -7n = 0
-16 + -10n = 14 + 0
-16 + -10n = 14

Add '16' to each side of the equation.
-16 + 16 + -10n = 14 + 16

Combine like terms: -16 + 16 = 0
0 + -10n = 14 + 16
-10n = 14 + 16

Combine like terms: 14 + 16 = 30
-10n = 30

Divide each side by '-10'.
n = -3

Simplifying
n = -3

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