6(5k-8)-20=22k-33+13k

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Solution for 6(5k-8)-20=22k-33+13k equation:


Simplifying
6(5k + -8) + -20 = 22k + -33 + 13k

Reorder the terms:
6(-8 + 5k) + -20 = 22k + -33 + 13k
(-8 * 6 + 5k * 6) + -20 = 22k + -33 + 13k
(-48 + 30k) + -20 = 22k + -33 + 13k

Reorder the terms:
-48 + -20 + 30k = 22k + -33 + 13k

Combine like terms: -48 + -20 = -68
-68 + 30k = 22k + -33 + 13k

Reorder the terms:
-68 + 30k = -33 + 22k + 13k

Combine like terms: 22k + 13k = 35k
-68 + 30k = -33 + 35k

Solving
-68 + 30k = -33 + 35k

Solving for variable 'k'.

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

Add '-35k' to each side of the equation.
-68 + 30k + -35k = -33 + 35k + -35k

Combine like terms: 30k + -35k = -5k
-68 + -5k = -33 + 35k + -35k

Combine like terms: 35k + -35k = 0
-68 + -5k = -33 + 0
-68 + -5k = -33

Add '68' to each side of the equation.
-68 + 68 + -5k = -33 + 68

Combine like terms: -68 + 68 = 0
0 + -5k = -33 + 68
-5k = -33 + 68

Combine like terms: -33 + 68 = 35
-5k = 35

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

Simplifying
k = -7

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