8(2n-5)=(8n+1)+8

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


Simplifying
8(2n + -5) = (8n + 1) + 8

Reorder the terms:
8(-5 + 2n) = (8n + 1) + 8
(-5 * 8 + 2n * 8) = (8n + 1) + 8
(-40 + 16n) = (8n + 1) + 8

Reorder the terms:
-40 + 16n = (1 + 8n) + 8

Remove parenthesis around (1 + 8n)
-40 + 16n = 1 + 8n + 8

Reorder the terms:
-40 + 16n = 1 + 8 + 8n

Combine like terms: 1 + 8 = 9
-40 + 16n = 9 + 8n

Solving
-40 + 16n = 9 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-40 + 16n + -8n = 9 + 8n + -8n

Combine like terms: 16n + -8n = 8n
-40 + 8n = 9 + 8n + -8n

Combine like terms: 8n + -8n = 0
-40 + 8n = 9 + 0
-40 + 8n = 9

Add '40' to each side of the equation.
-40 + 40 + 8n = 9 + 40

Combine like terms: -40 + 40 = 0
0 + 8n = 9 + 40
8n = 9 + 40

Combine like terms: 9 + 40 = 49
8n = 49

Divide each side by '8'.
n = 6.125

Simplifying
n = 6.125

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