-5(-4k+3)+4(-6k-7)=-39

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Solution for -5(-4k+3)+4(-6k-7)=-39 equation:


Simplifying
-5(-4k + 3) + 4(-6k + -7) = -39

Reorder the terms:
-5(3 + -4k) + 4(-6k + -7) = -39
(3 * -5 + -4k * -5) + 4(-6k + -7) = -39
(-15 + 20k) + 4(-6k + -7) = -39

Reorder the terms:
-15 + 20k + 4(-7 + -6k) = -39
-15 + 20k + (-7 * 4 + -6k * 4) = -39
-15 + 20k + (-28 + -24k) = -39

Reorder the terms:
-15 + -28 + 20k + -24k = -39

Combine like terms: -15 + -28 = -43
-43 + 20k + -24k = -39

Combine like terms: 20k + -24k = -4k
-43 + -4k = -39

Solving
-43 + -4k = -39

Solving for variable 'k'.

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

Add '43' to each side of the equation.
-43 + 43 + -4k = -39 + 43

Combine like terms: -43 + 43 = 0
0 + -4k = -39 + 43
-4k = -39 + 43

Combine like terms: -39 + 43 = 4
-4k = 4

Divide each side by '-4'.
k = -1

Simplifying
k = -1

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