8(2n+1)=8(7n+5)+6

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Solution for 8(2n+1)=8(7n+5)+6 equation:


Simplifying
8(2n + 1) = 8(7n + 5) + 6

Reorder the terms:
8(1 + 2n) = 8(7n + 5) + 6
(1 * 8 + 2n * 8) = 8(7n + 5) + 6
(8 + 16n) = 8(7n + 5) + 6

Reorder the terms:
8 + 16n = 8(5 + 7n) + 6
8 + 16n = (5 * 8 + 7n * 8) + 6
8 + 16n = (40 + 56n) + 6

Reorder the terms:
8 + 16n = 40 + 6 + 56n

Combine like terms: 40 + 6 = 46
8 + 16n = 46 + 56n

Solving
8 + 16n = 46 + 56n

Solving for variable 'n'.

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

Add '-56n' to each side of the equation.
8 + 16n + -56n = 46 + 56n + -56n

Combine like terms: 16n + -56n = -40n
8 + -40n = 46 + 56n + -56n

Combine like terms: 56n + -56n = 0
8 + -40n = 46 + 0
8 + -40n = 46

Add '-8' to each side of the equation.
8 + -8 + -40n = 46 + -8

Combine like terms: 8 + -8 = 0
0 + -40n = 46 + -8
-40n = 46 + -8

Combine like terms: 46 + -8 = 38
-40n = 38

Divide each side by '-40'.
n = -0.95

Simplifying
n = -0.95

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