65=4(2n+5)+5

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Solution for 65=4(2n+5)+5 equation:


Simplifying
65 = 4(2n + 5) + 5

Reorder the terms:
65 = 4(5 + 2n) + 5
65 = (5 * 4 + 2n * 4) + 5
65 = (20 + 8n) + 5

Reorder the terms:
65 = 20 + 5 + 8n

Combine like terms: 20 + 5 = 25
65 = 25 + 8n

Solving
65 = 25 + 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.
65 + -8n = 25 + 8n + -8n

Combine like terms: 8n + -8n = 0
65 + -8n = 25 + 0
65 + -8n = 25

Add '-65' to each side of the equation.
65 + -65 + -8n = 25 + -65

Combine like terms: 65 + -65 = 0
0 + -8n = 25 + -65
-8n = 25 + -65

Combine like terms: 25 + -65 = -40
-8n = -40

Divide each side by '-8'.
n = 5

Simplifying
n = 5

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