3(5k+7)-2(k-8)=

Solution for 3(5k+7)-2(k-8)= equation:

Simplifying
3(5k + 7) + -2(k + -8) = 0

Reorder the terms:
3(7 + 5k) + -2(k + -8) = 0
(7 * 3 + 5k * 3) + -2(k + -8) = 0
(21 + 15k) + -2(k + -8) = 0

Reorder the terms:
21 + 15k + -2(-8 + k) = 0
21 + 15k + (-8 * -2 + k * -2) = 0
21 + 15k + (16 + -2k) = 0

Reorder the terms:
21 + 16 + 15k + -2k = 0

Combine like terms: 21 + 16 = 37
37 + 15k + -2k = 0

Combine like terms: 15k + -2k = 13k
37 + 13k = 0

Solving
37 + 13k = 0

Solving for variable 'k'.

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

Add '-37' to each side of the equation.
37 + -37 + 13k = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 13k = 0 + -37
13k = 0 + -37

Combine like terms: 0 + -37 = -37
13k = -37

Divide each side by '13'.
k = -2.846153846

Simplifying
k = -2.846153846