2(k-7)-3(k+7)=-40

Solution for 2(k-7)-3(k+7)=-40 equation:

Simplifying
2(k + -7) + -3(k + 7) = -40

Reorder the terms:
2(-7 + k) + -3(k + 7) = -40
(-7 * 2 + k * 2) + -3(k + 7) = -40
(-14 + 2k) + -3(k + 7) = -40

Reorder the terms:
-14 + 2k + -3(7 + k) = -40
-14 + 2k + (7 * -3 + k * -3) = -40
-14 + 2k + (-21 + -3k) = -40

Reorder the terms:
-14 + -21 + 2k + -3k = -40

Combine like terms: -14 + -21 = -35
-35 + 2k + -3k = -40

Combine like terms: 2k + -3k = -1k
-35 + -1k = -40

Solving
-35 + -1k = -40

Solving for variable 'k'.

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

Add '35' to each side of the equation.
-35 + 35 + -1k = -40 + 35

Combine like terms: -35 + 35 = 0
0 + -1k = -40 + 35
-1k = -40 + 35

Combine like terms: -40 + 35 = -5
-1k = -5

Divide each side by '-1'.
k = 5

Simplifying
k = 5