37+3n=-2-6(1+7n)

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Solution for 37+3n=-2-6(1+7n) equation: 


Simplifying
37 + 3n = -2 + -6(1 + 7n)
37 + 3n = -2 + (1 * -6 + 7n * -6)
37 + 3n = -2 + (-6 + -42n)

Combine like terms: -2 + -6 = -8
37 + 3n = -8 + -42n

Solving
37 + 3n = -8 + -42n

Solving for variable 'n'.

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

Add '42n' to each side of the equation.
37 + 3n + 42n = -8 + -42n + 42n

Combine like terms: 3n + 42n = 45n
37 + 45n = -8 + -42n + 42n

Combine like terms: -42n + 42n = 0
37 + 45n = -8 + 0
37 + 45n = -8

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

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

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

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

Simplifying
n = -1

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