-7(4n-2)=6(-3-6n)

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Solution for -7(4n-2)=6(-3-6n) equation:


Simplifying
-7(4n + -2) = 6(-3 + -6n)

Reorder the terms:
-7(-2 + 4n) = 6(-3 + -6n)
(-2 * -7 + 4n * -7) = 6(-3 + -6n)
(14 + -28n) = 6(-3 + -6n)
14 + -28n = (-3 * 6 + -6n * 6)
14 + -28n = (-18 + -36n)

Solving
14 + -28n = -18 + -36n

Solving for variable 'n'.

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

Add '36n' to each side of the equation.
14 + -28n + 36n = -18 + -36n + 36n

Combine like terms: -28n + 36n = 8n
14 + 8n = -18 + -36n + 36n

Combine like terms: -36n + 36n = 0
14 + 8n = -18 + 0
14 + 8n = -18

Add '-14' to each side of the equation.
14 + -14 + 8n = -18 + -14

Combine like terms: 14 + -14 = 0
0 + 8n = -18 + -14
8n = -18 + -14

Combine like terms: -18 + -14 = -32
8n = -32

Divide each side by '8'.
n = -4

Simplifying
n = -4

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