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

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


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

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

Combine like terms: 4n + -2n = 2n
12 + 2n = 3(n + -3)

Reorder the terms:
12 + 2n = 3(-3 + n)
12 + 2n = (-3 * 3 + n * 3)
12 + 2n = (-9 + 3n)

Solving
12 + 2n = -9 + 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.
12 + 2n + -3n = -9 + 3n + -3n

Combine like terms: 2n + -3n = -1n
12 + -1n = -9 + 3n + -3n

Combine like terms: 3n + -3n = 0
12 + -1n = -9 + 0
12 + -1n = -9

Add '-12' to each side of the equation.
12 + -12 + -1n = -9 + -12

Combine like terms: 12 + -12 = 0
0 + -1n = -9 + -12
-1n = -9 + -12

Combine like terms: -9 + -12 = -21
-1n = -21

Divide each side by '-1'.
n = 21

Simplifying
n = 21

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