2(2n+5)=7(6n+6)+6

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Solution for 2(2n+5)=7(6n+6)+6 equation: 


Simplifying
2(2n + 5) = 7(6n + 6) + 6

Reorder the terms:
2(5 + 2n) = 7(6n + 6) + 6
(5 * 2 + 2n * 2) = 7(6n + 6) + 6
(10 + 4n) = 7(6n + 6) + 6

Reorder the terms:
10 + 4n = 7(6 + 6n) + 6
10 + 4n = (6 * 7 + 6n * 7) + 6
10 + 4n = (42 + 42n) + 6

Reorder the terms:
10 + 4n = 42 + 6 + 42n

Combine like terms: 42 + 6 = 48
10 + 4n = 48 + 42n

Solving
10 + 4n = 48 + 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.
10 + 4n + -42n = 48 + 42n + -42n

Combine like terms: 4n + -42n = -38n
10 + -38n = 48 + 42n + -42n

Combine like terms: 42n + -42n = 0
10 + -38n = 48 + 0
10 + -38n = 48

Add '-10' to each side of the equation.
10 + -10 + -38n = 48 + -10

Combine like terms: 10 + -10 = 0
0 + -38n = 48 + -10
-38n = 48 + -10

Combine like terms: 48 + -10 = 38
-38n = 38

Divide each side by '-38'.
n = -1

Simplifying
n = -1

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