-27+3n=8-7(6n+5)

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Solution for -27+3n=8-7(6n+5) equation:


Simplifying
-27 + 3n = 8 + -7(6n + 5)

Reorder the terms:
-27 + 3n = 8 + -7(5 + 6n)
-27 + 3n = 8 + (5 * -7 + 6n * -7)
-27 + 3n = 8 + (-35 + -42n)

Combine like terms: 8 + -35 = -27
-27 + 3n = -27 + -42n

Add '27' to each side of the equation.
-27 + 27 + 3n = -27 + 27 + -42n

Combine like terms: -27 + 27 = 0
0 + 3n = -27 + 27 + -42n
3n = -27 + 27 + -42n

Combine like terms: -27 + 27 = 0
3n = 0 + -42n
3n = -42n

Solving
3n = -42n

Solving for variable 'n'.

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

Add '42n' to each side of the equation.
3n + 42n = -42n + 42n

Combine like terms: 3n + 42n = 45n
45n = -42n + 42n

Combine like terms: -42n + 42n = 0
45n = 0

Divide each side by '45'.
n = 0

Simplifying
n = 0

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