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

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


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

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

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

Reorder the terms:
-5 + 3n = -3(-4 + -4n) + -2(n + 5)
-5 + 3n = (-4 * -3 + -4n * -3) + -2(n + 5)
-5 + 3n = (12 + 12n) + -2(n + 5)

Reorder the terms:
-5 + 3n = 12 + 12n + -2(5 + n)
-5 + 3n = 12 + 12n + (5 * -2 + n * -2)
-5 + 3n = 12 + 12n + (-10 + -2n)

Reorder the terms:
-5 + 3n = 12 + -10 + 12n + -2n

Combine like terms: 12 + -10 = 2
-5 + 3n = 2 + 12n + -2n

Combine like terms: 12n + -2n = 10n
-5 + 3n = 2 + 10n

Solving
-5 + 3n = 2 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-5 + 3n + -10n = 2 + 10n + -10n

Combine like terms: 3n + -10n = -7n
-5 + -7n = 2 + 10n + -10n

Combine like terms: 10n + -10n = 0
-5 + -7n = 2 + 0
-5 + -7n = 2

Add '5' to each side of the equation.
-5 + 5 + -7n = 2 + 5

Combine like terms: -5 + 5 = 0
0 + -7n = 2 + 5
-7n = 2 + 5

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

Divide each side by '-7'.
n = -1

Simplifying
n = -1

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