4(2n+2)=6(7n+2)+2

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Solution for 4(2n+2)=6(7n+2)+2 equation:


Simplifying
4(2n + 2) = 6(7n + 2) + 2

Reorder the terms:
4(2 + 2n) = 6(7n + 2) + 2
(2 * 4 + 2n * 4) = 6(7n + 2) + 2
(8 + 8n) = 6(7n + 2) + 2

Reorder the terms:
8 + 8n = 6(2 + 7n) + 2
8 + 8n = (2 * 6 + 7n * 6) + 2
8 + 8n = (12 + 42n) + 2

Reorder the terms:
8 + 8n = 12 + 2 + 42n

Combine like terms: 12 + 2 = 14
8 + 8n = 14 + 42n

Solving
8 + 8n = 14 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
8 + 8n + -42n = 14 + 42n + -42n

Combine like terms: 8n + -42n = -34n
8 + -34n = 14 + 42n + -42n

Combine like terms: 42n + -42n = 0
8 + -34n = 14 + 0
8 + -34n = 14

Add '-8' to each side of the equation.
8 + -8 + -34n = 14 + -8

Combine like terms: 8 + -8 = 0
0 + -34n = 14 + -8
-34n = 14 + -8

Combine like terms: 14 + -8 = 6
-34n = 6

Divide each side by '-34'.
n = -0.1764705882

Simplifying
n = -0.1764705882

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