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

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Solution for 6(n-4)=-3(-7-n) equation:


Simplifying
6(n + -4) = -3(-7 + -1n)

Reorder the terms:
6(-4 + n) = -3(-7 + -1n)
(-4 * 6 + n * 6) = -3(-7 + -1n)
(-24 + 6n) = -3(-7 + -1n)
-24 + 6n = (-7 * -3 + -1n * -3)
-24 + 6n = (21 + 3n)

Solving
-24 + 6n = 21 + 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.
-24 + 6n + -3n = 21 + 3n + -3n

Combine like terms: 6n + -3n = 3n
-24 + 3n = 21 + 3n + -3n

Combine like terms: 3n + -3n = 0
-24 + 3n = 21 + 0
-24 + 3n = 21

Add '24' to each side of the equation.
-24 + 24 + 3n = 21 + 24

Combine like terms: -24 + 24 = 0
0 + 3n = 21 + 24
3n = 21 + 24

Combine like terms: 21 + 24 = 45
3n = 45

Divide each side by '3'.
n = 15

Simplifying
n = 15

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