-2(-6+4n)-3(5n-6)=53

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Solution for -2(-6+4n)-3(5n-6)=53 equation: 


Simplifying
-2(-6 + 4n) + -3(5n + -6) = 53
(-6 * -2 + 4n * -2) + -3(5n + -6) = 53
(12 + -8n) + -3(5n + -6) = 53

Reorder the terms:
12 + -8n + -3(-6 + 5n) = 53
12 + -8n + (-6 * -3 + 5n * -3) = 53
12 + -8n + (18 + -15n) = 53

Reorder the terms:
12 + 18 + -8n + -15n = 53

Combine like terms: 12 + 18 = 30
30 + -8n + -15n = 53

Combine like terms: -8n + -15n = -23n
30 + -23n = 53

Solving
30 + -23n = 53

Solving for variable 'n'.

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

Add '-30' to each side of the equation.
30 + -30 + -23n = 53 + -30

Combine like terms: 30 + -30 = 0
0 + -23n = 53 + -30
-23n = 53 + -30

Combine like terms: 53 + -30 = 23
-23n = 23

Divide each side by '-23'.
n = -1

Simplifying
n = -1

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