20-3(2n+5)=6n-2

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Solution for 20-3(2n+5)=6n-2 equation:


Simplifying
20 + -3(2n + 5) = 6n + -2

Reorder the terms:
20 + -3(5 + 2n) = 6n + -2
20 + (5 * -3 + 2n * -3) = 6n + -2
20 + (-15 + -6n) = 6n + -2

Combine like terms: 20 + -15 = 5
5 + -6n = 6n + -2

Reorder the terms:
5 + -6n = -2 + 6n

Solving
5 + -6n = -2 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
5 + -6n + -6n = -2 + 6n + -6n

Combine like terms: -6n + -6n = -12n
5 + -12n = -2 + 6n + -6n

Combine like terms: 6n + -6n = 0
5 + -12n = -2 + 0
5 + -12n = -2

Add '-5' to each side of the equation.
5 + -5 + -12n = -2 + -5

Combine like terms: 5 + -5 = 0
0 + -12n = -2 + -5
-12n = -2 + -5

Combine like terms: -2 + -5 = -7
-12n = -7

Divide each side by '-12'.
n = 0.5833333333

Simplifying
n = 0.5833333333

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