7n-6(-2n+2)=-2(7n+6)

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


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

Reorder the terms:
7n + -6(2 + -2n) = -2(7n + 6)
7n + (2 * -6 + -2n * -6) = -2(7n + 6)
7n + (-12 + 12n) = -2(7n + 6)

Reorder the terms:
-12 + 7n + 12n = -2(7n + 6)

Combine like terms: 7n + 12n = 19n
-12 + 19n = -2(7n + 6)

Reorder the terms:
-12 + 19n = -2(6 + 7n)
-12 + 19n = (6 * -2 + 7n * -2)
-12 + 19n = (-12 + -14n)

Add '12' to each side of the equation.
-12 + 12 + 19n = -12 + 12 + -14n

Combine like terms: -12 + 12 = 0
0 + 19n = -12 + 12 + -14n
19n = -12 + 12 + -14n

Combine like terms: -12 + 12 = 0
19n = 0 + -14n
19n = -14n

Solving
19n = -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.
19n + 14n = -14n + 14n

Combine like terms: 19n + 14n = 33n
33n = -14n + 14n

Combine like terms: -14n + 14n = 0
33n = 0

Divide each side by '33'.
n = 0

Simplifying
n = 0

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