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

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


Simplifying
4(k + -6) + -1(3k + 2) = -6

Reorder the terms:
4(-6 + k) + -1(3k + 2) = -6
(-6 * 4 + k * 4) + -1(3k + 2) = -6
(-24 + 4k) + -1(3k + 2) = -6

Reorder the terms:
-24 + 4k + -1(2 + 3k) = -6
-24 + 4k + (2 * -1 + 3k * -1) = -6
-24 + 4k + (-2 + -3k) = -6

Reorder the terms:
-24 + -2 + 4k + -3k = -6

Combine like terms: -24 + -2 = -26
-26 + 4k + -3k = -6

Combine like terms: 4k + -3k = 1k
-26 + 1k = -6

Solving
-26 + 1k = -6

Solving for variable 'k'.

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

Add '26' to each side of the equation.
-26 + 26 + 1k = -6 + 26

Combine like terms: -26 + 26 = 0
0 + 1k = -6 + 26
1k = -6 + 26

Combine like terms: -6 + 26 = 20
1k = 20

Divide each side by '1'.
k = 20

Simplifying
k = 20

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