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

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


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

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

Reorder the terms:
8 + 8n = 6(8 + 9n) + 6
8 + 8n = (8 * 6 + 9n * 6) + 6
8 + 8n = (48 + 54n) + 6

Reorder the terms:
8 + 8n = 48 + 6 + 54n

Combine like terms: 48 + 6 = 54
8 + 8n = 54 + 54n

Solving
8 + 8n = 54 + 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.
8 + 8n + -54n = 54 + 54n + -54n

Combine like terms: 8n + -54n = -46n
8 + -46n = 54 + 54n + -54n

Combine like terms: 54n + -54n = 0
8 + -46n = 54 + 0
8 + -46n = 54

Add '-8' to each side of the equation.
8 + -8 + -46n = 54 + -8

Combine like terms: 8 + -8 = 0
0 + -46n = 54 + -8
-46n = 54 + -8

Combine like terms: 54 + -8 = 46
-46n = 46

Divide each side by '-46'.
n = -1

Simplifying
n = -1

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