-3(n-4)=7-2n

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Solution for -3(n-4)=7-2n equation:


Simplifying
-3(n + -4) = 7 + -2n

Reorder the terms:
-3(-4 + n) = 7 + -2n
(-4 * -3 + n * -3) = 7 + -2n
(12 + -3n) = 7 + -2n

Solving
12 + -3n = 7 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
12 + -3n + 2n = 7 + -2n + 2n

Combine like terms: -3n + 2n = -1n
12 + -1n = 7 + -2n + 2n

Combine like terms: -2n + 2n = 0
12 + -1n = 7 + 0
12 + -1n = 7

Add '-12' to each side of the equation.
12 + -12 + -1n = 7 + -12

Combine like terms: 12 + -12 = 0
0 + -1n = 7 + -12
-1n = 7 + -12

Combine like terms: 7 + -12 = -5
-1n = -5

Divide each side by '-1'.
n = 5

Simplifying
n = 5

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