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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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