4-5(1+4k)=-37-8k

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Solution for 4-5(1+4k)=-37-8k equation:


Simplifying
4 + -5(1 + 4k) = -37 + -8k
4 + (1 * -5 + 4k * -5) = -37 + -8k
4 + (-5 + -20k) = -37 + -8k

Combine like terms: 4 + -5 = -1
-1 + -20k = -37 + -8k

Solving
-1 + -20k = -37 + -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.
-1 + -20k + 8k = -37 + -8k + 8k

Combine like terms: -20k + 8k = -12k
-1 + -12k = -37 + -8k + 8k

Combine like terms: -8k + 8k = 0
-1 + -12k = -37 + 0
-1 + -12k = -37

Add '1' to each side of the equation.
-1 + 1 + -12k = -37 + 1

Combine like terms: -1 + 1 = 0
0 + -12k = -37 + 1
-12k = -37 + 1

Combine like terms: -37 + 1 = -36
-12k = -36

Divide each side by '-12'.
k = 3

Simplifying
k = 3

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