-8n-5(4n-7)=-2n+9

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Solution for -8n-5(4n-7)=-2n+9 equation:


Simplifying
-8n + -5(4n + -7) = -2n + 9

Reorder the terms:
-8n + -5(-7 + 4n) = -2n + 9
-8n + (-7 * -5 + 4n * -5) = -2n + 9
-8n + (35 + -20n) = -2n + 9

Reorder the terms:
35 + -8n + -20n = -2n + 9

Combine like terms: -8n + -20n = -28n
35 + -28n = -2n + 9

Reorder the terms:
35 + -28n = 9 + -2n

Solving
35 + -28n = 9 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
35 + -28n + 2n = 9 + -2n + 2n

Combine like terms: -28n + 2n = -26n
35 + -26n = 9 + -2n + 2n

Combine like terms: -2n + 2n = 0
35 + -26n = 9 + 0
35 + -26n = 9

Add '-35' to each side of the equation.
35 + -35 + -26n = 9 + -35

Combine like terms: 35 + -35 = 0
0 + -26n = 9 + -35
-26n = 9 + -35

Combine like terms: 9 + -35 = -26
-26n = -26

Divide each side by '-26'.
n = 1

Simplifying
n = 1

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