2(6n-4)-3n=-5n-4(3-4n)

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Solution for 2(6n-4)-3n=-5n-4(3-4n) equation:


Simplifying
2(6n + -4) + -3n = -5n + -4(3 + -4n)

Reorder the terms:
2(-4 + 6n) + -3n = -5n + -4(3 + -4n)
(-4 * 2 + 6n * 2) + -3n = -5n + -4(3 + -4n)
(-8 + 12n) + -3n = -5n + -4(3 + -4n)

Combine like terms: 12n + -3n = 9n
-8 + 9n = -5n + -4(3 + -4n)
-8 + 9n = -5n + (3 * -4 + -4n * -4)
-8 + 9n = -5n + (-12 + 16n)

Reorder the terms:
-8 + 9n = -12 + -5n + 16n

Combine like terms: -5n + 16n = 11n
-8 + 9n = -12 + 11n

Solving
-8 + 9n = -12 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
-8 + 9n + -11n = -12 + 11n + -11n

Combine like terms: 9n + -11n = -2n
-8 + -2n = -12 + 11n + -11n

Combine like terms: 11n + -11n = 0
-8 + -2n = -12 + 0
-8 + -2n = -12

Add '8' to each side of the equation.
-8 + 8 + -2n = -12 + 8

Combine like terms: -8 + 8 = 0
0 + -2n = -12 + 8
-2n = -12 + 8

Combine like terms: -12 + 8 = -4
-2n = -4

Divide each side by '-2'.
n = 2

Simplifying
n = 2

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