56-3n=10(8n-11)

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Solution for 56-3n=10(8n-11) equation:


Simplifying
56 + -3n = 10(8n + -11)

Reorder the terms:
56 + -3n = 10(-11 + 8n)
56 + -3n = (-11 * 10 + 8n * 10)
56 + -3n = (-110 + 80n)

Solving
56 + -3n = -110 + 80n

Solving for variable 'n'.

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

Add '-80n' to each side of the equation.
56 + -3n + -80n = -110 + 80n + -80n

Combine like terms: -3n + -80n = -83n
56 + -83n = -110 + 80n + -80n

Combine like terms: 80n + -80n = 0
56 + -83n = -110 + 0
56 + -83n = -110

Add '-56' to each side of the equation.
56 + -56 + -83n = -110 + -56

Combine like terms: 56 + -56 = 0
0 + -83n = -110 + -56
-83n = -110 + -56

Combine like terms: -110 + -56 = -166
-83n = -166

Divide each side by '-83'.
n = 2

Simplifying
n = 2

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