3(4k+2)-4(k+7)=

Solution for 3(4k+2)-4(k+7)= equation:

Simplifying
3(4k + 2) + -4(k + 7) = 0

Reorder the terms:
3(2 + 4k) + -4(k + 7) = 0
(2 * 3 + 4k * 3) + -4(k + 7) = 0
(6 + 12k) + -4(k + 7) = 0

Reorder the terms:
6 + 12k + -4(7 + k) = 0
6 + 12k + (7 * -4 + k * -4) = 0
6 + 12k + (-28 + -4k) = 0

Reorder the terms:
6 + -28 + 12k + -4k = 0

Combine like terms: 6 + -28 = -22
-22 + 12k + -4k = 0

Combine like terms: 12k + -4k = 8k
-22 + 8k = 0

Solving
-22 + 8k = 0

Solving for variable 'k'.

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

Add '22' to each side of the equation.
-22 + 22 + 8k = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 8k = 0 + 22
8k = 0 + 22

Combine like terms: 0 + 22 = 22
8k = 22

Divide each side by '8'.
k = 2.75

Simplifying
k = 2.75