-6n-37=-2n+4(1-3n)

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Solution for -6n-37=-2n+4(1-3n) equation:


Simplifying
-6n + -37 = -2n + 4(1 + -3n)

Reorder the terms:
-37 + -6n = -2n + 4(1 + -3n)
-37 + -6n = -2n + (1 * 4 + -3n * 4)
-37 + -6n = -2n + (4 + -12n)

Reorder the terms:
-37 + -6n = 4 + -2n + -12n

Combine like terms: -2n + -12n = -14n
-37 + -6n = 4 + -14n

Solving
-37 + -6n = 4 + -14n

Solving for variable 'n'.

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

Add '14n' to each side of the equation.
-37 + -6n + 14n = 4 + -14n + 14n

Combine like terms: -6n + 14n = 8n
-37 + 8n = 4 + -14n + 14n

Combine like terms: -14n + 14n = 0
-37 + 8n = 4 + 0
-37 + 8n = 4

Add '37' to each side of the equation.
-37 + 37 + 8n = 4 + 37

Combine like terms: -37 + 37 = 0
0 + 8n = 4 + 37
8n = 4 + 37

Combine like terms: 4 + 37 = 41
8n = 41

Divide each side by '8'.
n = 5.125

Simplifying
n = 5.125

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