8(6n+1)=-37+3n

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Solution for 8(6n+1)=-37+3n equation: 


Simplifying
8(6n + 1) = -37 + 3n

Reorder the terms:
8(1 + 6n) = -37 + 3n
(1 * 8 + 6n * 8) = -37 + 3n
(8 + 48n) = -37 + 3n

Solving
8 + 48n = -37 + 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.
8 + 48n + -3n = -37 + 3n + -3n

Combine like terms: 48n + -3n = 45n
8 + 45n = -37 + 3n + -3n

Combine like terms: 3n + -3n = 0
8 + 45n = -37 + 0
8 + 45n = -37

Add '-8' to each side of the equation.
8 + -8 + 45n = -37 + -8

Combine like terms: 8 + -8 = 0
0 + 45n = -37 + -8
45n = -37 + -8

Combine like terms: -37 + -8 = -45
45n = -45

Divide each side by '45'.
n = -1

Simplifying
n = -1

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