6(3n+2)=7(5n+8)+7

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Solution for 6(3n+2)=7(5n+8)+7 equation: 


Simplifying
6(3n + 2) = 7(5n + 8) + 7

Reorder the terms:
6(2 + 3n) = 7(5n + 8) + 7
(2 * 6 + 3n * 6) = 7(5n + 8) + 7
(12 + 18n) = 7(5n + 8) + 7

Reorder the terms:
12 + 18n = 7(8 + 5n) + 7
12 + 18n = (8 * 7 + 5n * 7) + 7
12 + 18n = (56 + 35n) + 7

Reorder the terms:
12 + 18n = 56 + 7 + 35n

Combine like terms: 56 + 7 = 63
12 + 18n = 63 + 35n

Solving
12 + 18n = 63 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
12 + 18n + -35n = 63 + 35n + -35n

Combine like terms: 18n + -35n = -17n
12 + -17n = 63 + 35n + -35n

Combine like terms: 35n + -35n = 0
12 + -17n = 63 + 0
12 + -17n = 63

Add '-12' to each side of the equation.
12 + -12 + -17n = 63 + -12

Combine like terms: 12 + -12 = 0
0 + -17n = 63 + -12
-17n = 63 + -12

Combine like terms: 63 + -12 = 51
-17n = 51

Divide each side by '-17'.
n = -3

Simplifying
n = -3

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