-2-5(-4n+5)=-4(n-3)+5

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Solution for -2-5(-4n+5)=-4(n-3)+5 equation:


Simplifying
-2 + -5(-4n + 5) = -4(n + -3) + 5

Reorder the terms:
-2 + -5(5 + -4n) = -4(n + -3) + 5
-2 + (5 * -5 + -4n * -5) = -4(n + -3) + 5
-2 + (-25 + 20n) = -4(n + -3) + 5

Combine like terms: -2 + -25 = -27
-27 + 20n = -4(n + -3) + 5

Reorder the terms:
-27 + 20n = -4(-3 + n) + 5
-27 + 20n = (-3 * -4 + n * -4) + 5
-27 + 20n = (12 + -4n) + 5

Reorder the terms:
-27 + 20n = 12 + 5 + -4n

Combine like terms: 12 + 5 = 17
-27 + 20n = 17 + -4n

Solving
-27 + 20n = 17 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
-27 + 20n + 4n = 17 + -4n + 4n

Combine like terms: 20n + 4n = 24n
-27 + 24n = 17 + -4n + 4n

Combine like terms: -4n + 4n = 0
-27 + 24n = 17 + 0
-27 + 24n = 17

Add '27' to each side of the equation.
-27 + 27 + 24n = 17 + 27

Combine like terms: -27 + 27 = 0
0 + 24n = 17 + 27
24n = 17 + 27

Combine like terms: 17 + 27 = 44
24n = 44

Divide each side by '24'.
n = 1.833333333

Simplifying
n = 1.833333333

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