4(k-5)-3(k+2)-13=-32

Solution for 4(k-5)-3(k+2)-13=-32 equation:

Simplifying
4(k + -5) + -3(k + 2) + -13 = -32

Reorder the terms:
4(-5 + k) + -3(k + 2) + -13 = -32
(-5 * 4 + k * 4) + -3(k + 2) + -13 = -32
(-20 + 4k) + -3(k + 2) + -13 = -32

Reorder the terms:
-20 + 4k + -3(2 + k) + -13 = -32
-20 + 4k + (2 * -3 + k * -3) + -13 = -32
-20 + 4k + (-6 + -3k) + -13 = -32

Reorder the terms:
-20 + -6 + -13 + 4k + -3k = -32

Combine like terms: -20 + -6 = -26
-26 + -13 + 4k + -3k = -32

Combine like terms: -26 + -13 = -39
-39 + 4k + -3k = -32

Combine like terms: 4k + -3k = 1k
-39 + 1k = -32

Solving
-39 + 1k = -32

Solving for variable 'k'.

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

Add '39' to each side of the equation.
-39 + 39 + 1k = -32 + 39

Combine like terms: -39 + 39 = 0
0 + 1k = -32 + 39
1k = -32 + 39

Combine like terms: -32 + 39 = 7
1k = 7

Divide each side by '1'.
k = 7

Simplifying
k = 7