6(2n+2)=7(9n+7)+7

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Solution for 6(2n+2)=7(9n+7)+7 equation: 


Simplifying
6(2n + 2) = 7(9n + 7) + 7

Reorder the terms:
6(2 + 2n) = 7(9n + 7) + 7
(2 * 6 + 2n * 6) = 7(9n + 7) + 7
(12 + 12n) = 7(9n + 7) + 7

Reorder the terms:
12 + 12n = 7(7 + 9n) + 7
12 + 12n = (7 * 7 + 9n * 7) + 7
12 + 12n = (49 + 63n) + 7

Reorder the terms:
12 + 12n = 49 + 7 + 63n

Combine like terms: 49 + 7 = 56
12 + 12n = 56 + 63n

Solving
12 + 12n = 56 + 63n

Solving for variable 'n'.

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

Add '-63n' to each side of the equation.
12 + 12n + -63n = 56 + 63n + -63n

Combine like terms: 12n + -63n = -51n
12 + -51n = 56 + 63n + -63n

Combine like terms: 63n + -63n = 0
12 + -51n = 56 + 0
12 + -51n = 56

Add '-12' to each side of the equation.
12 + -12 + -51n = 56 + -12

Combine like terms: 12 + -12 = 0
0 + -51n = 56 + -12
-51n = 56 + -12

Combine like terms: 56 + -12 = 44
-51n = 44

Divide each side by '-51'.
n = -0.862745098

Simplifying
n = -0.862745098

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