-7(n+7)=-4n-16

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Solution for -7(n+7)=-4n-16 equation:


Simplifying
-7(n + 7) = -4n + -16

Reorder the terms:
-7(7 + n) = -4n + -16
(7 * -7 + n * -7) = -4n + -16
(-49 + -7n) = -4n + -16

Reorder the terms:
-49 + -7n = -16 + -4n

Solving
-49 + -7n = -16 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
-49 + -7n + 4n = -16 + -4n + 4n

Combine like terms: -7n + 4n = -3n
-49 + -3n = -16 + -4n + 4n

Combine like terms: -4n + 4n = 0
-49 + -3n = -16 + 0
-49 + -3n = -16

Add '49' to each side of the equation.
-49 + 49 + -3n = -16 + 49

Combine like terms: -49 + 49 = 0
0 + -3n = -16 + 49
-3n = -16 + 49

Combine like terms: -16 + 49 = 33
-3n = 33

Divide each side by '-3'.
n = -11

Simplifying
n = -11

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