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

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


Simplifying
5n + 38 = -3(-5n + -6)

Reorder the terms:
38 + 5n = -3(-5n + -6)

Reorder the terms:
38 + 5n = -3(-6 + -5n)
38 + 5n = (-6 * -3 + -5n * -3)
38 + 5n = (18 + 15n)

Solving
38 + 5n = 18 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
38 + 5n + -15n = 18 + 15n + -15n

Combine like terms: 5n + -15n = -10n
38 + -10n = 18 + 15n + -15n

Combine like terms: 15n + -15n = 0
38 + -10n = 18 + 0
38 + -10n = 18

Add '-38' to each side of the equation.
38 + -38 + -10n = 18 + -38

Combine like terms: 38 + -38 = 0
0 + -10n = 18 + -38
-10n = 18 + -38

Combine like terms: 18 + -38 = -20
-10n = -20

Divide each side by '-10'.
n = 2

Simplifying
n = 2

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