4k-22=37k-15(k-2)+20

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Solution for 4k-22=37k-15(k-2)+20 equation: 


Simplifying
4k + -22 = 37k + -15(k + -2) + 20

Reorder the terms:
-22 + 4k = 37k + -15(k + -2) + 20

Reorder the terms:
-22 + 4k = 37k + -15(-2 + k) + 20
-22 + 4k = 37k + (-2 * -15 + k * -15) + 20
-22 + 4k = 37k + (30 + -15k) + 20

Reorder the terms:
-22 + 4k = 30 + 20 + 37k + -15k

Combine like terms: 30 + 20 = 50
-22 + 4k = 50 + 37k + -15k

Combine like terms: 37k + -15k = 22k
-22 + 4k = 50 + 22k

Solving
-22 + 4k = 50 + 22k

Solving for variable 'k'.

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

Add '-22k' to each side of the equation.
-22 + 4k + -22k = 50 + 22k + -22k

Combine like terms: 4k + -22k = -18k
-22 + -18k = 50 + 22k + -22k

Combine like terms: 22k + -22k = 0
-22 + -18k = 50 + 0
-22 + -18k = 50

Add '22' to each side of the equation.
-22 + 22 + -18k = 50 + 22

Combine like terms: -22 + 22 = 0
0 + -18k = 50 + 22
-18k = 50 + 22

Combine like terms: 50 + 22 = 72
-18k = 72

Divide each side by '-18'.
k = -4

Simplifying
k = -4

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