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

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


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

Reorder the terms:
8(2 + 2n) = 6(9n + 3) + 4
(2 * 8 + 2n * 8) = 6(9n + 3) + 4
(16 + 16n) = 6(9n + 3) + 4

Reorder the terms:
16 + 16n = 6(3 + 9n) + 4
16 + 16n = (3 * 6 + 9n * 6) + 4
16 + 16n = (18 + 54n) + 4

Reorder the terms:
16 + 16n = 18 + 4 + 54n

Combine like terms: 18 + 4 = 22
16 + 16n = 22 + 54n

Solving
16 + 16n = 22 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
16 + 16n + -54n = 22 + 54n + -54n

Combine like terms: 16n + -54n = -38n
16 + -38n = 22 + 54n + -54n

Combine like terms: 54n + -54n = 0
16 + -38n = 22 + 0
16 + -38n = 22

Add '-16' to each side of the equation.
16 + -16 + -38n = 22 + -16

Combine like terms: 16 + -16 = 0
0 + -38n = 22 + -16
-38n = 22 + -16

Combine like terms: 22 + -16 = 6
-38n = 6

Divide each side by '-38'.
n = -0.1578947368

Simplifying
n = -0.1578947368

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