6(5+5n)=6(8n+2)

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Solution for 6(5+5n)=6(8n+2) equation:


Simplifying
6(5 + 5n) = 6(8n + 2)
(5 * 6 + 5n * 6) = 6(8n + 2)
(30 + 30n) = 6(8n + 2)

Reorder the terms:
30 + 30n = 6(2 + 8n)
30 + 30n = (2 * 6 + 8n * 6)
30 + 30n = (12 + 48n)

Solving
30 + 30n = 12 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
30 + 30n + -48n = 12 + 48n + -48n

Combine like terms: 30n + -48n = -18n
30 + -18n = 12 + 48n + -48n

Combine like terms: 48n + -48n = 0
30 + -18n = 12 + 0
30 + -18n = 12

Add '-30' to each side of the equation.
30 + -30 + -18n = 12 + -30

Combine like terms: 30 + -30 = 0
0 + -18n = 12 + -30
-18n = 12 + -30

Combine like terms: 12 + -30 = -18
-18n = -18

Divide each side by '-18'.
n = 1

Simplifying
n = 1

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