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

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


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

Reorder the terms:
5(-2 + n) + -2(n + 3) + -20 = -2
(-2 * 5 + n * 5) + -2(n + 3) + -20 = -2
(-10 + 5n) + -2(n + 3) + -20 = -2

Reorder the terms:
-10 + 5n + -2(3 + n) + -20 = -2
-10 + 5n + (3 * -2 + n * -2) + -20 = -2
-10 + 5n + (-6 + -2n) + -20 = -2

Reorder the terms:
-10 + -6 + -20 + 5n + -2n = -2

Combine like terms: -10 + -6 = -16
-16 + -20 + 5n + -2n = -2

Combine like terms: -16 + -20 = -36
-36 + 5n + -2n = -2

Combine like terms: 5n + -2n = 3n
-36 + 3n = -2

Solving
-36 + 3n = -2

Solving for variable 'n'.

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

Add '36' to each side of the equation.
-36 + 36 + 3n = -2 + 36

Combine like terms: -36 + 36 = 0
0 + 3n = -2 + 36
3n = -2 + 36

Combine like terms: -2 + 36 = 34
3n = 34

Divide each side by '3'.
n = 11.33333333

Simplifying
n = 11.33333333

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