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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 = 14 -2k = 14 Divide each side by '-2'. k = -7 Simplifying k = -7
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