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

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


Simplifying
3(4k + -4) + -4(k + 6) = 0

Reorder the terms:
3(-4 + 4k) + -4(k + 6) = 0
(-4 * 3 + 4k * 3) + -4(k + 6) = 0
(-12 + 12k) + -4(k + 6) = 0

Reorder the terms:
-12 + 12k + -4(6 + k) = 0
-12 + 12k + (6 * -4 + k * -4) = 0
-12 + 12k + (-24 + -4k) = 0

Reorder the terms:
-12 + -24 + 12k + -4k = 0

Combine like terms: -12 + -24 = -36
-36 + 12k + -4k = 0

Combine like terms: 12k + -4k = 8k
-36 + 8k = 0

Solving
-36 + 8k = 0

Solving for variable 'k'.

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

Add '36' to each side of the equation.
-36 + 36 + 8k = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 8k = 0 + 36
8k = 0 + 36

Combine like terms: 0 + 36 = 36
8k = 36

Divide each side by '8'.
k = 4.5

Simplifying
k = 4.5

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