(2n+10)=5(8n)

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Solution for (2n+10)=5(8n) equation:


Simplifying
(2n + 10) = 5(8n)

Reorder the terms:
(10 + 2n) = 5(8n)

Remove parenthesis around (10 + 2n)
10 + 2n = 5(8n)

Remove parenthesis around (8n)
10 + 2n = 5 * 8n

Multiply 5 * 8
10 + 2n = 40n

Solving
10 + 2n = 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.
10 + 2n + -40n = 40n + -40n

Combine like terms: 2n + -40n = -38n
10 + -38n = 40n + -40n

Combine like terms: 40n + -40n = 0
10 + -38n = 0

Add '-10' to each side of the equation.
10 + -10 + -38n = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -38n = 0 + -10
-38n = 0 + -10

Combine like terms: 0 + -10 = -10
-38n = -10

Divide each side by '-38'.
n = 0.2631578947

Simplifying
n = 0.2631578947

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