5(5n-1)-3=-8(1-n)

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Solution for 5(5n-1)-3=-8(1-n) equation:


Simplifying
5(5n + -1) + -3 = -8(1 + -1n)

Reorder the terms:
5(-1 + 5n) + -3 = -8(1 + -1n)
(-1 * 5 + 5n * 5) + -3 = -8(1 + -1n)
(-5 + 25n) + -3 = -8(1 + -1n)

Reorder the terms:
-5 + -3 + 25n = -8(1 + -1n)

Combine like terms: -5 + -3 = -8
-8 + 25n = -8(1 + -1n)
-8 + 25n = (1 * -8 + -1n * -8)
-8 + 25n = (-8 + 8n)

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

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

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

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

Combine like terms: 25n + -8n = 17n
17n = 8n + -8n

Combine like terms: 8n + -8n = 0
17n = 0

Divide each side by '17'.
n = 0

Simplifying
n = 0

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