-7n-4=-4(n-6)-4

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Solution for -7n-4=-4(n-6)-4 equation:


Simplifying
-7n + -4 = -4(n + -6) + -4

Reorder the terms:
-4 + -7n = -4(n + -6) + -4

Reorder the terms:
-4 + -7n = -4(-6 + n) + -4
-4 + -7n = (-6 * -4 + n * -4) + -4
-4 + -7n = (24 + -4n) + -4

Reorder the terms:
-4 + -7n = 24 + -4 + -4n

Combine like terms: 24 + -4 = 20
-4 + -7n = 20 + -4n

Solving
-4 + -7n = 20 + -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.
-4 + -7n + 4n = 20 + -4n + 4n

Combine like terms: -7n + 4n = -3n
-4 + -3n = 20 + -4n + 4n

Combine like terms: -4n + 4n = 0
-4 + -3n = 20 + 0
-4 + -3n = 20

Add '4' to each side of the equation.
-4 + 4 + -3n = 20 + 4

Combine like terms: -4 + 4 = 0
0 + -3n = 20 + 4
-3n = 20 + 4

Combine like terms: 20 + 4 = 24
-3n = 24

Divide each side by '-3'.
n = -8

Simplifying
n = -8

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