8n-3(5n-5)=11-3n

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Solution for 8n-3(5n-5)=11-3n equation:


Simplifying
8n + -3(5n + -5) = 11 + -3n

Reorder the terms:
8n + -3(-5 + 5n) = 11 + -3n
8n + (-5 * -3 + 5n * -3) = 11 + -3n
8n + (15 + -15n) = 11 + -3n

Reorder the terms:
15 + 8n + -15n = 11 + -3n

Combine like terms: 8n + -15n = -7n
15 + -7n = 11 + -3n

Solving
15 + -7n = 11 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
15 + -7n + 3n = 11 + -3n + 3n

Combine like terms: -7n + 3n = -4n
15 + -4n = 11 + -3n + 3n

Combine like terms: -3n + 3n = 0
15 + -4n = 11 + 0
15 + -4n = 11

Add '-15' to each side of the equation.
15 + -15 + -4n = 11 + -15

Combine like terms: 15 + -15 = 0
0 + -4n = 11 + -15
-4n = 11 + -15

Combine like terms: 11 + -15 = -4
-4n = -4

Divide each side by '-4'.
n = 1

Simplifying
n = 1

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