2(3n+5)=8(8n+7)+8

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Solution for 2(3n+5)=8(8n+7)+8 equation:


Simplifying
2(3n + 5) = 8(8n + 7) + 8

Reorder the terms:
2(5 + 3n) = 8(8n + 7) + 8
(5 * 2 + 3n * 2) = 8(8n + 7) + 8
(10 + 6n) = 8(8n + 7) + 8

Reorder the terms:
10 + 6n = 8(7 + 8n) + 8
10 + 6n = (7 * 8 + 8n * 8) + 8
10 + 6n = (56 + 64n) + 8

Reorder the terms:
10 + 6n = 56 + 8 + 64n

Combine like terms: 56 + 8 = 64
10 + 6n = 64 + 64n

Solving
10 + 6n = 64 + 64n

Solving for variable 'n'.

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

Add '-64n' to each side of the equation.
10 + 6n + -64n = 64 + 64n + -64n

Combine like terms: 6n + -64n = -58n
10 + -58n = 64 + 64n + -64n

Combine like terms: 64n + -64n = 0
10 + -58n = 64 + 0
10 + -58n = 64

Add '-10' to each side of the equation.
10 + -10 + -58n = 64 + -10

Combine like terms: 10 + -10 = 0
0 + -58n = 64 + -10
-58n = 64 + -10

Combine like terms: 64 + -10 = 54
-58n = 54

Divide each side by '-58'.
n = -0.9310344828

Simplifying
n = -0.9310344828

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