-7n-11=5n+5(-6n+5)

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Solution for -7n-11=5n+5(-6n+5) equation:


Simplifying
-7n + -11 = 5n + 5(-6n + 5)

Reorder the terms:
-11 + -7n = 5n + 5(-6n + 5)

Reorder the terms:
-11 + -7n = 5n + 5(5 + -6n)
-11 + -7n = 5n + (5 * 5 + -6n * 5)
-11 + -7n = 5n + (25 + -30n)

Reorder the terms:
-11 + -7n = 25 + 5n + -30n

Combine like terms: 5n + -30n = -25n
-11 + -7n = 25 + -25n

Solving
-11 + -7n = 25 + -25n

Solving for variable 'n'.

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

Add '25n' to each side of the equation.
-11 + -7n + 25n = 25 + -25n + 25n

Combine like terms: -7n + 25n = 18n
-11 + 18n = 25 + -25n + 25n

Combine like terms: -25n + 25n = 0
-11 + 18n = 25 + 0
-11 + 18n = 25

Add '11' to each side of the equation.
-11 + 11 + 18n = 25 + 11

Combine like terms: -11 + 11 = 0
0 + 18n = 25 + 11
18n = 25 + 11

Combine like terms: 25 + 11 = 36
18n = 36

Divide each side by '18'.
n = 2

Simplifying
n = 2

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