2(4k+1)-3(k-7)=

Solution for 2(4k+1)-3(k-7)= equation:

Simplifying
2(4k + 1) + -3(k + -7) = 0

Reorder the terms:
2(1 + 4k) + -3(k + -7) = 0
(1 * 2 + 4k * 2) + -3(k + -7) = 0
(2 + 8k) + -3(k + -7) = 0

Reorder the terms:
2 + 8k + -3(-7 + k) = 0
2 + 8k + (-7 * -3 + k * -3) = 0
2 + 8k + (21 + -3k) = 0

Reorder the terms:
2 + 21 + 8k + -3k = 0

Combine like terms: 2 + 21 = 23
23 + 8k + -3k = 0

Combine like terms: 8k + -3k = 5k
23 + 5k = 0

Solving
23 + 5k = 0

Solving for variable 'k'.

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

Add '-23' to each side of the equation.
23 + -23 + 5k = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 5k = 0 + -23
5k = 0 + -23

Combine like terms: 0 + -23 = -23
5k = -23

Divide each side by '5'.
k = -4.6

Simplifying
k = -4.6