38-10n=-3(n-8)

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Solution for 38-10n=-3(n-8) equation:


Simplifying
38 + -10n = -3(n + -8)

Reorder the terms:
38 + -10n = -3(-8 + n)
38 + -10n = (-8 * -3 + n * -3)
38 + -10n = (24 + -3n)

Solving
38 + -10n = 24 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
38 + -10n + 3n = 24 + -3n + 3n

Combine like terms: -10n + 3n = -7n
38 + -7n = 24 + -3n + 3n

Combine like terms: -3n + 3n = 0
38 + -7n = 24 + 0
38 + -7n = 24

Add '-38' to each side of the equation.
38 + -38 + -7n = 24 + -38

Combine like terms: 38 + -38 = 0
0 + -7n = 24 + -38
-7n = 24 + -38

Combine like terms: 24 + -38 = -14
-7n = -14

Divide each side by '-7'.
n = 2

Simplifying
n = 2

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