7(3n+2)=8(6n+1)+9

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Solution for 7(3n+2)=8(6n+1)+9 equation:


Simplifying
7(3n + 2) = 8(6n + 1) + 9

Reorder the terms:
7(2 + 3n) = 8(6n + 1) + 9
(2 * 7 + 3n * 7) = 8(6n + 1) + 9
(14 + 21n) = 8(6n + 1) + 9

Reorder the terms:
14 + 21n = 8(1 + 6n) + 9
14 + 21n = (1 * 8 + 6n * 8) + 9
14 + 21n = (8 + 48n) + 9

Reorder the terms:
14 + 21n = 8 + 9 + 48n

Combine like terms: 8 + 9 = 17
14 + 21n = 17 + 48n

Solving
14 + 21n = 17 + 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.
14 + 21n + -48n = 17 + 48n + -48n

Combine like terms: 21n + -48n = -27n
14 + -27n = 17 + 48n + -48n

Combine like terms: 48n + -48n = 0
14 + -27n = 17 + 0
14 + -27n = 17

Add '-14' to each side of the equation.
14 + -14 + -27n = 17 + -14

Combine like terms: 14 + -14 = 0
0 + -27n = 17 + -14
-27n = 17 + -14

Combine like terms: 17 + -14 = 3
-27n = 3

Divide each side by '-27'.
n = -0.1111111111

Simplifying
n = -0.1111111111

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