5(2n-6)=8(n-3)+4n

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Solution for 5(2n-6)=8(n-3)+4n equation:


Simplifying
5(2n + -6) = 8(n + -3) + 4n

Reorder the terms:
5(-6 + 2n) = 8(n + -3) + 4n
(-6 * 5 + 2n * 5) = 8(n + -3) + 4n
(-30 + 10n) = 8(n + -3) + 4n

Reorder the terms:
-30 + 10n = 8(-3 + n) + 4n
-30 + 10n = (-3 * 8 + n * 8) + 4n
-30 + 10n = (-24 + 8n) + 4n

Combine like terms: 8n + 4n = 12n
-30 + 10n = -24 + 12n

Solving
-30 + 10n = -24 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
-30 + 10n + -12n = -24 + 12n + -12n

Combine like terms: 10n + -12n = -2n
-30 + -2n = -24 + 12n + -12n

Combine like terms: 12n + -12n = 0
-30 + -2n = -24 + 0
-30 + -2n = -24

Add '30' to each side of the equation.
-30 + 30 + -2n = -24 + 30

Combine like terms: -30 + 30 = 0
0 + -2n = -24 + 30
-2n = -24 + 30

Combine like terms: -24 + 30 = 6
-2n = 6

Divide each side by '-2'.
n = -3

Simplifying
n = -3

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