2n-7(3n-8)=-7(n-6)+2

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Solution for 2n-7(3n-8)=-7(n-6)+2 equation: 


Simplifying
2n + -7(3n + -8) = -7(n + -6) + 2

Reorder the terms:
2n + -7(-8 + 3n) = -7(n + -6) + 2
2n + (-8 * -7 + 3n * -7) = -7(n + -6) + 2
2n + (56 + -21n) = -7(n + -6) + 2

Reorder the terms:
56 + 2n + -21n = -7(n + -6) + 2

Combine like terms: 2n + -21n = -19n
56 + -19n = -7(n + -6) + 2

Reorder the terms:
56 + -19n = -7(-6 + n) + 2
56 + -19n = (-6 * -7 + n * -7) + 2
56 + -19n = (42 + -7n) + 2

Reorder the terms:
56 + -19n = 42 + 2 + -7n

Combine like terms: 42 + 2 = 44
56 + -19n = 44 + -7n

Solving
56 + -19n = 44 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
56 + -19n + 7n = 44 + -7n + 7n

Combine like terms: -19n + 7n = -12n
56 + -12n = 44 + -7n + 7n

Combine like terms: -7n + 7n = 0
56 + -12n = 44 + 0
56 + -12n = 44

Add '-56' to each side of the equation.
56 + -56 + -12n = 44 + -56

Combine like terms: 56 + -56 = 0
0 + -12n = 44 + -56
-12n = 44 + -56

Combine like terms: 44 + -56 = -12
-12n = -12

Divide each side by '-12'.
n = 1

Simplifying
n = 1

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