-3(2k-5)+2(4k-3)+-3+7k=

Solution for -3(2k-5)+2(4k-3)+-3+7k= equation:

Simplifying
-3(2k + -5) + 2(4k + -3) + -3 + 7k = 0

Reorder the terms:
-3(-5 + 2k) + 2(4k + -3) + -3 + 7k = 0
(-5 * -3 + 2k * -3) + 2(4k + -3) + -3 + 7k = 0
(15 + -6k) + 2(4k + -3) + -3 + 7k = 0

Reorder the terms:
15 + -6k + 2(-3 + 4k) + -3 + 7k = 0
15 + -6k + (-3 * 2 + 4k * 2) + -3 + 7k = 0
15 + -6k + (-6 + 8k) + -3 + 7k = 0

Reorder the terms:
15 + -6 + -3 + -6k + 8k + 7k = 0

Combine like terms: 15 + -6 = 9
9 + -3 + -6k + 8k + 7k = 0

Combine like terms: 9 + -3 = 6
6 + -6k + 8k + 7k = 0

Combine like terms: -6k + 8k = 2k
6 + 2k + 7k = 0

Combine like terms: 2k + 7k = 9k
6 + 9k = 0

Solving
6 + 9k = 0

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + -6 + 9k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 9k = 0 + -6
9k = 0 + -6

Combine like terms: 0 + -6 = -6
9k = -6

Divide each side by '9'.
k = -0.6666666667

Simplifying
k = -0.6666666667