-4(n-4)=-3n-7

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Solution for -4(n-4)=-3n-7 equation:


Simplifying
-4(n + -4) = -3n + -7

Reorder the terms:
-4(-4 + n) = -3n + -7
(-4 * -4 + n * -4) = -3n + -7
(16 + -4n) = -3n + -7

Reorder the terms:
16 + -4n = -7 + -3n

Solving
16 + -4n = -7 + -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.
16 + -4n + 3n = -7 + -3n + 3n

Combine like terms: -4n + 3n = -1n
16 + -1n = -7 + -3n + 3n

Combine like terms: -3n + 3n = 0
16 + -1n = -7 + 0
16 + -1n = -7

Add '-16' to each side of the equation.
16 + -16 + -1n = -7 + -16

Combine like terms: 16 + -16 = 0
0 + -1n = -7 + -16
-1n = -7 + -16

Combine like terms: -7 + -16 = -23
-1n = -23

Divide each side by '-1'.
n = 23

Simplifying
n = 23

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