9(3n+2)=8(8n+6)+4

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Solution for 9(3n+2)=8(8n+6)+4 equation:


Simplifying
9(3n + 2) = 8(8n + 6) + 4

Reorder the terms:
9(2 + 3n) = 8(8n + 6) + 4
(2 * 9 + 3n * 9) = 8(8n + 6) + 4
(18 + 27n) = 8(8n + 6) + 4

Reorder the terms:
18 + 27n = 8(6 + 8n) + 4
18 + 27n = (6 * 8 + 8n * 8) + 4
18 + 27n = (48 + 64n) + 4

Reorder the terms:
18 + 27n = 48 + 4 + 64n

Combine like terms: 48 + 4 = 52
18 + 27n = 52 + 64n

Solving
18 + 27n = 52 + 64n

Solving for variable 'n'.

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

Add '-64n' to each side of the equation.
18 + 27n + -64n = 52 + 64n + -64n

Combine like terms: 27n + -64n = -37n
18 + -37n = 52 + 64n + -64n

Combine like terms: 64n + -64n = 0
18 + -37n = 52 + 0
18 + -37n = 52

Add '-18' to each side of the equation.
18 + -18 + -37n = 52 + -18

Combine like terms: 18 + -18 = 0
0 + -37n = 52 + -18
-37n = 52 + -18

Combine like terms: 52 + -18 = 34
-37n = 34

Divide each side by '-37'.
n = -0.9189189189

Simplifying
n = -0.9189189189

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