3(8n-10)+10=11n+58

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Solution for 3(8n-10)+10=11n+58 equation:


Simplifying
3(8n + -10) + 10 = 11n + 58

Reorder the terms:
3(-10 + 8n) + 10 = 11n + 58
(-10 * 3 + 8n * 3) + 10 = 11n + 58
(-30 + 24n) + 10 = 11n + 58

Reorder the terms:
-30 + 10 + 24n = 11n + 58

Combine like terms: -30 + 10 = -20
-20 + 24n = 11n + 58

Reorder the terms:
-20 + 24n = 58 + 11n

Solving
-20 + 24n = 58 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
-20 + 24n + -11n = 58 + 11n + -11n

Combine like terms: 24n + -11n = 13n
-20 + 13n = 58 + 11n + -11n

Combine like terms: 11n + -11n = 0
-20 + 13n = 58 + 0
-20 + 13n = 58

Add '20' to each side of the equation.
-20 + 20 + 13n = 58 + 20

Combine like terms: -20 + 20 = 0
0 + 13n = 58 + 20
13n = 58 + 20

Combine like terms: 58 + 20 = 78
13n = 78

Divide each side by '13'.
n = 6

Simplifying
n = 6

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