4(2n+3)=7(6n+2)+7

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Solution for 4(2n+3)=7(6n+2)+7 equation: 


Simplifying
4(2n + 3) = 7(6n + 2) + 7

Reorder the terms:
4(3 + 2n) = 7(6n + 2) + 7
(3 * 4 + 2n * 4) = 7(6n + 2) + 7
(12 + 8n) = 7(6n + 2) + 7

Reorder the terms:
12 + 8n = 7(2 + 6n) + 7
12 + 8n = (2 * 7 + 6n * 7) + 7
12 + 8n = (14 + 42n) + 7

Reorder the terms:
12 + 8n = 14 + 7 + 42n

Combine like terms: 14 + 7 = 21
12 + 8n = 21 + 42n

Solving
12 + 8n = 21 + 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.
12 + 8n + -42n = 21 + 42n + -42n

Combine like terms: 8n + -42n = -34n
12 + -34n = 21 + 42n + -42n

Combine like terms: 42n + -42n = 0
12 + -34n = 21 + 0
12 + -34n = 21

Add '-12' to each side of the equation.
12 + -12 + -34n = 21 + -12

Combine like terms: 12 + -12 = 0
0 + -34n = 21 + -12
-34n = 21 + -12

Combine like terms: 21 + -12 = 9
-34n = 9

Divide each side by '-34'.
n = -0.2647058824

Simplifying
n = -0.2647058824

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