6(6n-4)+6(-5n+6)=4n-4+4n

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


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

Reorder the terms:
6(-4 + 6n) + 6(-5n + 6) = 4n + -4 + 4n
(-4 * 6 + 6n * 6) + 6(-5n + 6) = 4n + -4 + 4n
(-24 + 36n) + 6(-5n + 6) = 4n + -4 + 4n

Reorder the terms:
-24 + 36n + 6(6 + -5n) = 4n + -4 + 4n
-24 + 36n + (6 * 6 + -5n * 6) = 4n + -4 + 4n
-24 + 36n + (36 + -30n) = 4n + -4 + 4n

Reorder the terms:
-24 + 36 + 36n + -30n = 4n + -4 + 4n

Combine like terms: -24 + 36 = 12
12 + 36n + -30n = 4n + -4 + 4n

Combine like terms: 36n + -30n = 6n
12 + 6n = 4n + -4 + 4n

Reorder the terms:
12 + 6n = -4 + 4n + 4n

Combine like terms: 4n + 4n = 8n
12 + 6n = -4 + 8n

Solving
12 + 6n = -4 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
12 + 6n + -8n = -4 + 8n + -8n

Combine like terms: 6n + -8n = -2n
12 + -2n = -4 + 8n + -8n

Combine like terms: 8n + -8n = 0
12 + -2n = -4 + 0
12 + -2n = -4

Add '-12' to each side of the equation.
12 + -12 + -2n = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -2n = -4 + -12
-2n = -4 + -12

Combine like terms: -4 + -12 = -16
-2n = -16

Divide each side by '-2'.
n = 8

Simplifying
n = 8

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