8(2n+2)=7(7n+7)+1

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Solution for 8(2n+2)=7(7n+7)+1 equation: 


Simplifying
8(2n + 2) = 7(7n + 7) + 1

Reorder the terms:
8(2 + 2n) = 7(7n + 7) + 1
(2 * 8 + 2n * 8) = 7(7n + 7) + 1
(16 + 16n) = 7(7n + 7) + 1

Reorder the terms:
16 + 16n = 7(7 + 7n) + 1
16 + 16n = (7 * 7 + 7n * 7) + 1
16 + 16n = (49 + 49n) + 1

Reorder the terms:
16 + 16n = 49 + 1 + 49n

Combine like terms: 49 + 1 = 50
16 + 16n = 50 + 49n

Solving
16 + 16n = 50 + 49n

Solving for variable 'n'.

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

Add '-49n' to each side of the equation.
16 + 16n + -49n = 50 + 49n + -49n

Combine like terms: 16n + -49n = -33n
16 + -33n = 50 + 49n + -49n

Combine like terms: 49n + -49n = 0
16 + -33n = 50 + 0
16 + -33n = 50

Add '-16' to each side of the equation.
16 + -16 + -33n = 50 + -16

Combine like terms: 16 + -16 = 0
0 + -33n = 50 + -16
-33n = 50 + -16

Combine like terms: 50 + -16 = 34
-33n = 34

Divide each side by '-33'.
n = -1.03030303

Simplifying
n = -1.03030303

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