k+37=-2(-1-4k)

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Solution for k+37=-2(-1-4k) equation: 


Simplifying
k + 37 = -2(-1 + -4k)

Reorder the terms:
37 + k = -2(-1 + -4k)
37 + k = (-1 * -2 + -4k * -2)
37 + k = (2 + 8k)

Solving
37 + k = 2 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
37 + k + -8k = 2 + 8k + -8k

Combine like terms: k + -8k = -7k
37 + -7k = 2 + 8k + -8k

Combine like terms: 8k + -8k = 0
37 + -7k = 2 + 0
37 + -7k = 2

Add '-37' to each side of the equation.
37 + -37 + -7k = 2 + -37

Combine like terms: 37 + -37 = 0
0 + -7k = 2 + -37
-7k = 2 + -37

Combine like terms: 2 + -37 = -35
-7k = -35

Divide each side by '-7'.
k = 5

Simplifying
k = 5

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