37-8n=-5(3n-1)-3

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Solution for 37-8n=-5(3n-1)-3 equation: 


Simplifying
37 + -8n = -5(3n + -1) + -3

Reorder the terms:
37 + -8n = -5(-1 + 3n) + -3
37 + -8n = (-1 * -5 + 3n * -5) + -3
37 + -8n = (5 + -15n) + -3

Reorder the terms:
37 + -8n = 5 + -3 + -15n

Combine like terms: 5 + -3 = 2
37 + -8n = 2 + -15n

Solving
37 + -8n = 2 + -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.
37 + -8n + 15n = 2 + -15n + 15n

Combine like terms: -8n + 15n = 7n
37 + 7n = 2 + -15n + 15n

Combine like terms: -15n + 15n = 0
37 + 7n = 2 + 0
37 + 7n = 2

Add '-37' to each side of the equation.
37 + -37 + 7n = 2 + -37

Combine like terms: 37 + -37 = 0
0 + 7n = 2 + -37
7n = 2 + -37

Combine like terms: 2 + -37 = -35
7n = -35

Divide each side by '7'.
n = -5

Simplifying
n = -5

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