6(3n+5)=7(6n+8)+6

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Solution for 6(3n+5)=7(6n+8)+6 equation: 


Simplifying
6(3n + 5) = 7(6n + 8) + 6

Reorder the terms:
6(5 + 3n) = 7(6n + 8) + 6
(5 * 6 + 3n * 6) = 7(6n + 8) + 6
(30 + 18n) = 7(6n + 8) + 6

Reorder the terms:
30 + 18n = 7(8 + 6n) + 6
30 + 18n = (8 * 7 + 6n * 7) + 6
30 + 18n = (56 + 42n) + 6

Reorder the terms:
30 + 18n = 56 + 6 + 42n

Combine like terms: 56 + 6 = 62
30 + 18n = 62 + 42n

Solving
30 + 18n = 62 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
30 + 18n + -42n = 62 + 42n + -42n

Combine like terms: 18n + -42n = -24n
30 + -24n = 62 + 42n + -42n

Combine like terms: 42n + -42n = 0
30 + -24n = 62 + 0
30 + -24n = 62

Add '-30' to each side of the equation.
30 + -30 + -24n = 62 + -30

Combine like terms: 30 + -30 = 0
0 + -24n = 62 + -30
-24n = 62 + -30

Combine like terms: 62 + -30 = 32
-24n = 32

Divide each side by '-24'.
n = -1.333333333

Simplifying
n = -1.333333333

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