4(-6k+2)=4(-10+5k)-3k

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Solution for 4(-6k+2)=4(-10+5k)-3k equation: 


Simplifying
4(-6k + 2) = 4(-10 + 5k) + -3k

Reorder the terms:
4(2 + -6k) = 4(-10 + 5k) + -3k
(2 * 4 + -6k * 4) = 4(-10 + 5k) + -3k
(8 + -24k) = 4(-10 + 5k) + -3k
8 + -24k = (-10 * 4 + 5k * 4) + -3k
8 + -24k = (-40 + 20k) + -3k

Combine like terms: 20k + -3k = 17k
8 + -24k = -40 + 17k

Solving
8 + -24k = -40 + 17k

Solving for variable 'k'.

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

Add '-17k' to each side of the equation.
8 + -24k + -17k = -40 + 17k + -17k

Combine like terms: -24k + -17k = -41k
8 + -41k = -40 + 17k + -17k

Combine like terms: 17k + -17k = 0
8 + -41k = -40 + 0
8 + -41k = -40

Add '-8' to each side of the equation.
8 + -8 + -41k = -40 + -8

Combine like terms: 8 + -8 = 0
0 + -41k = -40 + -8
-41k = -40 + -8

Combine like terms: -40 + -8 = -48
-41k = -48

Divide each side by '-41'.
k = 1.170731707

Simplifying
k = 1.170731707

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