-4(3n+2)=-7(2n-1)+7

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Solution for -4(3n+2)=-7(2n-1)+7 equation: 


Simplifying
-4(3n + 2) = -7(2n + -1) + 7

Reorder the terms:
-4(2 + 3n) = -7(2n + -1) + 7
(2 * -4 + 3n * -4) = -7(2n + -1) + 7
(-8 + -12n) = -7(2n + -1) + 7

Reorder the terms:
-8 + -12n = -7(-1 + 2n) + 7
-8 + -12n = (-1 * -7 + 2n * -7) + 7
-8 + -12n = (7 + -14n) + 7

Reorder the terms:
-8 + -12n = 7 + 7 + -14n

Combine like terms: 7 + 7 = 14
-8 + -12n = 14 + -14n

Solving
-8 + -12n = 14 + -14n

Solving for variable 'n'.

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

Add '14n' to each side of the equation.
-8 + -12n + 14n = 14 + -14n + 14n

Combine like terms: -12n + 14n = 2n
-8 + 2n = 14 + -14n + 14n

Combine like terms: -14n + 14n = 0
-8 + 2n = 14 + 0
-8 + 2n = 14

Add '8' to each side of the equation.
-8 + 8 + 2n = 14 + 8

Combine like terms: -8 + 8 = 0
0 + 2n = 14 + 8
2n = 14 + 8

Combine like terms: 14 + 8 = 22
2n = 22

Divide each side by '2'.
n = 11

Simplifying
n = 11

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