3(1-3n)+8=2(-2-7n)

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Solution for 3(1-3n)+8=2(-2-7n) equation: 


Simplifying
3(1 + -3n) + 8 = 2(-2 + -7n)
(1 * 3 + -3n * 3) + 8 = 2(-2 + -7n)
(3 + -9n) + 8 = 2(-2 + -7n)

Reorder the terms:
3 + 8 + -9n = 2(-2 + -7n)

Combine like terms: 3 + 8 = 11
11 + -9n = 2(-2 + -7n)
11 + -9n = (-2 * 2 + -7n * 2)
11 + -9n = (-4 + -14n)

Solving
11 + -9n = -4 + -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.
11 + -9n + 14n = -4 + -14n + 14n

Combine like terms: -9n + 14n = 5n
11 + 5n = -4 + -14n + 14n

Combine like terms: -14n + 14n = 0
11 + 5n = -4 + 0
11 + 5n = -4

Add '-11' to each side of the equation.
11 + -11 + 5n = -4 + -11

Combine like terms: 11 + -11 = 0
0 + 5n = -4 + -11
5n = -4 + -11

Combine like terms: -4 + -11 = -15
5n = -15

Divide each side by '5'.
n = -3

Simplifying
n = -3

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