12k+6(k-9)=-6(1-4k)-4k

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Solution for 12k+6(k-9)=-6(1-4k)-4k equation:


Simplifying
12k + 6(k + -9) = -6(1 + -4k) + -4k

Reorder the terms:
12k + 6(-9 + k) = -6(1 + -4k) + -4k
12k + (-9 * 6 + k * 6) = -6(1 + -4k) + -4k
12k + (-54 + 6k) = -6(1 + -4k) + -4k

Reorder the terms:
-54 + 12k + 6k = -6(1 + -4k) + -4k

Combine like terms: 12k + 6k = 18k
-54 + 18k = -6(1 + -4k) + -4k
-54 + 18k = (1 * -6 + -4k * -6) + -4k
-54 + 18k = (-6 + 24k) + -4k

Combine like terms: 24k + -4k = 20k
-54 + 18k = -6 + 20k

Solving
-54 + 18k = -6 + 20k

Solving for variable 'k'.

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

Add '-20k' to each side of the equation.
-54 + 18k + -20k = -6 + 20k + -20k

Combine like terms: 18k + -20k = -2k
-54 + -2k = -6 + 20k + -20k

Combine like terms: 20k + -20k = 0
-54 + -2k = -6 + 0
-54 + -2k = -6

Add '54' to each side of the equation.
-54 + 54 + -2k = -6 + 54

Combine like terms: -54 + 54 = 0
0 + -2k = -6 + 54
-2k = -6 + 54

Combine like terms: -6 + 54 = 48
-2k = 48

Divide each side by '-2'.
k = -24

Simplifying
k = -24

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