37+6n=4(-6+6n)+7

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Solution for 37+6n=4(-6+6n)+7 equation: 


Simplifying
37 + 6n = 4(-6 + 6n) + 7
37 + 6n = (-6 * 4 + 6n * 4) + 7
37 + 6n = (-24 + 24n) + 7

Reorder the terms:
37 + 6n = -24 + 7 + 24n

Combine like terms: -24 + 7 = -17
37 + 6n = -17 + 24n

Solving
37 + 6n = -17 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
37 + 6n + -24n = -17 + 24n + -24n

Combine like terms: 6n + -24n = -18n
37 + -18n = -17 + 24n + -24n

Combine like terms: 24n + -24n = 0
37 + -18n = -17 + 0
37 + -18n = -17

Add '-37' to each side of the equation.
37 + -37 + -18n = -17 + -37

Combine like terms: 37 + -37 = 0
0 + -18n = -17 + -37
-18n = -17 + -37

Combine like terms: -17 + -37 = -54
-18n = -54

Divide each side by '-18'.
n = 3

Simplifying
n = 3

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