6(4k-6)+4(-4+3k)=-16

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Solution for 6(4k-6)+4(-4+3k)=-16 equation: 


Simplifying
6(4k + -6) + 4(-4 + 3k) = -16

Reorder the terms:
6(-6 + 4k) + 4(-4 + 3k) = -16
(-6 * 6 + 4k * 6) + 4(-4 + 3k) = -16
(-36 + 24k) + 4(-4 + 3k) = -16
-36 + 24k + (-4 * 4 + 3k * 4) = -16
-36 + 24k + (-16 + 12k) = -16

Reorder the terms:
-36 + -16 + 24k + 12k = -16

Combine like terms: -36 + -16 = -52
-52 + 24k + 12k = -16

Combine like terms: 24k + 12k = 36k
-52 + 36k = -16

Solving
-52 + 36k = -16

Solving for variable 'k'.

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

Add '52' to each side of the equation.
-52 + 52 + 36k = -16 + 52

Combine like terms: -52 + 52 = 0
0 + 36k = -16 + 52
36k = -16 + 52

Combine like terms: -16 + 52 = 36
36k = 36

Divide each side by '36'.
k = 1

Simplifying
k = 1

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