-5(6-5n)=20n+55

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Solution for -5(6-5n)=20n+55 equation:


Simplifying
-5(6 + -5n) = 20n + 55
(6 * -5 + -5n * -5) = 20n + 55
(-30 + 25n) = 20n + 55

Reorder the terms:
-30 + 25n = 55 + 20n

Solving
-30 + 25n = 55 + 20n

Solving for variable 'n'.

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

Add '-20n' to each side of the equation.
-30 + 25n + -20n = 55 + 20n + -20n

Combine like terms: 25n + -20n = 5n
-30 + 5n = 55 + 20n + -20n

Combine like terms: 20n + -20n = 0
-30 + 5n = 55 + 0
-30 + 5n = 55

Add '30' to each side of the equation.
-30 + 30 + 5n = 55 + 30

Combine like terms: -30 + 30 = 0
0 + 5n = 55 + 30
5n = 55 + 30

Combine like terms: 55 + 30 = 85
5n = 85

Divide each side by '5'.
n = 17

Simplifying
n = 17

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