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

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


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

Reorder the terms:
-5(-6 + -2n) + -3(6n + -5) = 2 + 3n + n + -5
(-6 * -5 + -2n * -5) + -3(6n + -5) = 2 + 3n + n + -5
(30 + 10n) + -3(6n + -5) = 2 + 3n + n + -5

Reorder the terms:
30 + 10n + -3(-5 + 6n) = 2 + 3n + n + -5
30 + 10n + (-5 * -3 + 6n * -3) = 2 + 3n + n + -5
30 + 10n + (15 + -18n) = 2 + 3n + n + -5

Reorder the terms:
30 + 15 + 10n + -18n = 2 + 3n + n + -5

Combine like terms: 30 + 15 = 45
45 + 10n + -18n = 2 + 3n + n + -5

Combine like terms: 10n + -18n = -8n
45 + -8n = 2 + 3n + n + -5

Reorder the terms:
45 + -8n = 2 + -5 + 3n + n

Combine like terms: 2 + -5 = -3
45 + -8n = -3 + 3n + n

Combine like terms: 3n + n = 4n
45 + -8n = -3 + 4n

Solving
45 + -8n = -3 + 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.
45 + -8n + -4n = -3 + 4n + -4n

Combine like terms: -8n + -4n = -12n
45 + -12n = -3 + 4n + -4n

Combine like terms: 4n + -4n = 0
45 + -12n = -3 + 0
45 + -12n = -3

Add '-45' to each side of the equation.
45 + -45 + -12n = -3 + -45

Combine like terms: 45 + -45 = 0
0 + -12n = -3 + -45
-12n = -3 + -45

Combine like terms: -3 + -45 = -48
-12n = -48

Divide each side by '-12'.
n = 4

Simplifying
n = 4

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