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Simplifying -5(k + -4) = -3(k + 2) Reorder the terms: -5(-4 + k) = -3(k + 2) (-4 * -5 + k * -5) = -3(k + 2) (20 + -5k) = -3(k + 2) Reorder the terms: 20 + -5k = -3(2 + k) 20 + -5k = (2 * -3 + k * -3) 20 + -5k = (-6 + -3k) Solving 20 + -5k = -6 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 20 + -5k + 3k = -6 + -3k + 3k Combine like terms: -5k + 3k = -2k 20 + -2k = -6 + -3k + 3k Combine like terms: -3k + 3k = 0 20 + -2k = -6 + 0 20 + -2k = -6 Add '-20' to each side of the equation. 20 + -20 + -2k = -6 + -20 Combine like terms: 20 + -20 = 0 0 + -2k = -6 + -20 -2k = -6 + -20 Combine like terms: -6 + -20 = -26 -2k = -26 Divide each side by '-2'. k = 13 Simplifying k = 13
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