-4(6k-6)-2(1-6k)=5k+5k

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Solution for -4(6k-6)-2(1-6k)=5k+5k equation:


Simplifying
-4(6k + -6) + -2(1 + -6k) = 5k + 5k

Reorder the terms:
-4(-6 + 6k) + -2(1 + -6k) = 5k + 5k
(-6 * -4 + 6k * -4) + -2(1 + -6k) = 5k + 5k
(24 + -24k) + -2(1 + -6k) = 5k + 5k
24 + -24k + (1 * -2 + -6k * -2) = 5k + 5k
24 + -24k + (-2 + 12k) = 5k + 5k

Reorder the terms:
24 + -2 + -24k + 12k = 5k + 5k

Combine like terms: 24 + -2 = 22
22 + -24k + 12k = 5k + 5k

Combine like terms: -24k + 12k = -12k
22 + -12k = 5k + 5k

Combine like terms: 5k + 5k = 10k
22 + -12k = 10k

Solving
22 + -12k = 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
22 + -12k + -10k = 10k + -10k

Combine like terms: -12k + -10k = -22k
22 + -22k = 10k + -10k

Combine like terms: 10k + -10k = 0
22 + -22k = 0

Add '-22' to each side of the equation.
22 + -22 + -22k = 0 + -22

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

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

Divide each side by '-22'.
k = 1

Simplifying
k = 1

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