7(2n+2)=7(6n+9)+5

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Solution for 7(2n+2)=7(6n+9)+5 equation:


Simplifying
7(2n + 2) = 7(6n + 9) + 5

Reorder the terms:
7(2 + 2n) = 7(6n + 9) + 5
(2 * 7 + 2n * 7) = 7(6n + 9) + 5
(14 + 14n) = 7(6n + 9) + 5

Reorder the terms:
14 + 14n = 7(9 + 6n) + 5
14 + 14n = (9 * 7 + 6n * 7) + 5
14 + 14n = (63 + 42n) + 5

Reorder the terms:
14 + 14n = 63 + 5 + 42n

Combine like terms: 63 + 5 = 68
14 + 14n = 68 + 42n

Solving
14 + 14n = 68 + 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.
14 + 14n + -42n = 68 + 42n + -42n

Combine like terms: 14n + -42n = -28n
14 + -28n = 68 + 42n + -42n

Combine like terms: 42n + -42n = 0
14 + -28n = 68 + 0
14 + -28n = 68

Add '-14' to each side of the equation.
14 + -14 + -28n = 68 + -14

Combine like terms: 14 + -14 = 0
0 + -28n = 68 + -14
-28n = 68 + -14

Combine like terms: 68 + -14 = 54
-28n = 54

Divide each side by '-28'.
n = -1.928571429

Simplifying
n = -1.928571429

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