37=-6(1-6n)-(6n-1)

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


Simplifying
37 = -6(1 + -6n) + -1(6n + -1)
37 = (1 * -6 + -6n * -6) + -1(6n + -1)
37 = (-6 + 36n) + -1(6n + -1)

Reorder the terms:
37 = -6 + 36n + -1(-1 + 6n)
37 = -6 + 36n + (-1 * -1 + 6n * -1)
37 = -6 + 36n + (1 + -6n)

Reorder the terms:
37 = -6 + 1 + 36n + -6n

Combine like terms: -6 + 1 = -5
37 = -5 + 36n + -6n

Combine like terms: 36n + -6n = 30n
37 = -5 + 30n

Solving
37 = -5 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
37 + -30n = -5 + 30n + -30n

Combine like terms: 30n + -30n = 0
37 + -30n = -5 + 0
37 + -30n = -5

Add '-37' to each side of the equation.
37 + -37 + -30n = -5 + -37

Combine like terms: 37 + -37 = 0
0 + -30n = -5 + -37
-30n = -5 + -37

Combine like terms: -5 + -37 = -42
-30n = -42

Divide each side by '-30'.
n = 1.4

Simplifying
n = 1.4

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