6(3n+2)=6(8n+8)+9

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Solution for 6(3n+2)=6(8n+8)+9 equation:


Simplifying
6(3n + 2) = 6(8n + 8) + 9

Reorder the terms:
6(2 + 3n) = 6(8n + 8) + 9
(2 * 6 + 3n * 6) = 6(8n + 8) + 9
(12 + 18n) = 6(8n + 8) + 9

Reorder the terms:
12 + 18n = 6(8 + 8n) + 9
12 + 18n = (8 * 6 + 8n * 6) + 9
12 + 18n = (48 + 48n) + 9

Reorder the terms:
12 + 18n = 48 + 9 + 48n

Combine like terms: 48 + 9 = 57
12 + 18n = 57 + 48n

Solving
12 + 18n = 57 + 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.
12 + 18n + -48n = 57 + 48n + -48n

Combine like terms: 18n + -48n = -30n
12 + -30n = 57 + 48n + -48n

Combine like terms: 48n + -48n = 0
12 + -30n = 57 + 0
12 + -30n = 57

Add '-12' to each side of the equation.
12 + -12 + -30n = 57 + -12

Combine like terms: 12 + -12 = 0
0 + -30n = 57 + -12
-30n = 57 + -12

Combine like terms: 57 + -12 = 45
-30n = 45

Divide each side by '-30'.
n = -1.5

Simplifying
n = -1.5

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