-38+6n=-5(-8-3n)+4n

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Solution for -38+6n=-5(-8-3n)+4n equation:


Simplifying
-38 + 6n = -5(-8 + -3n) + 4n
-38 + 6n = (-8 * -5 + -3n * -5) + 4n
-38 + 6n = (40 + 15n) + 4n

Combine like terms: 15n + 4n = 19n
-38 + 6n = 40 + 19n

Solving
-38 + 6n = 40 + 19n

Solving for variable 'n'.

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

Add '-19n' to each side of the equation.
-38 + 6n + -19n = 40 + 19n + -19n

Combine like terms: 6n + -19n = -13n
-38 + -13n = 40 + 19n + -19n

Combine like terms: 19n + -19n = 0
-38 + -13n = 40 + 0
-38 + -13n = 40

Add '38' to each side of the equation.
-38 + 38 + -13n = 40 + 38

Combine like terms: -38 + 38 = 0
0 + -13n = 40 + 38
-13n = 40 + 38

Combine like terms: 40 + 38 = 78
-13n = 78

Divide each side by '-13'.
n = -6

Simplifying
n = -6

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