7(2n+2)=8(5n+5)+6

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Solution for 7(2n+2)=8(5n+5)+6 equation:


Simplifying
7(2n + 2) = 8(5n + 5) + 6

Reorder the terms:
7(2 + 2n) = 8(5n + 5) + 6
(2 * 7 + 2n * 7) = 8(5n + 5) + 6
(14 + 14n) = 8(5n + 5) + 6

Reorder the terms:
14 + 14n = 8(5 + 5n) + 6
14 + 14n = (5 * 8 + 5n * 8) + 6
14 + 14n = (40 + 40n) + 6

Reorder the terms:
14 + 14n = 40 + 6 + 40n

Combine like terms: 40 + 6 = 46
14 + 14n = 46 + 40n

Solving
14 + 14n = 46 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
14 + 14n + -40n = 46 + 40n + -40n

Combine like terms: 14n + -40n = -26n
14 + -26n = 46 + 40n + -40n

Combine like terms: 40n + -40n = 0
14 + -26n = 46 + 0
14 + -26n = 46

Add '-14' to each side of the equation.
14 + -14 + -26n = 46 + -14

Combine like terms: 14 + -14 = 0
0 + -26n = 46 + -14
-26n = 46 + -14

Combine like terms: 46 + -14 = 32
-26n = 32

Divide each side by '-26'.
n = -1.230769231

Simplifying
n = -1.230769231

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