37+n=-6(1+4n)-7

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Solution for 37+n=-6(1+4n)-7 equation:


Simplifying
37 + n = -6(1 + 4n) + -7
37 + n = (1 * -6 + 4n * -6) + -7
37 + n = (-6 + -24n) + -7

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

Combine like terms: -6 + -7 = -13
37 + n = -13 + -24n

Solving
37 + n = -13 + -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 + n + 24n = -13 + -24n + 24n

Combine like terms: n + 24n = 25n
37 + 25n = -13 + -24n + 24n

Combine like terms: -24n + 24n = 0
37 + 25n = -13 + 0
37 + 25n = -13

Add '-37' to each side of the equation.
37 + -37 + 25n = -13 + -37

Combine like terms: 37 + -37 = 0
0 + 25n = -13 + -37
25n = -13 + -37

Combine like terms: -13 + -37 = -50
25n = -50

Divide each side by '25'.
n = -2

Simplifying
n = -2

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