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Simplifying 5(2k + -4) = -2(k + -3) Reorder the terms: 5(-4 + 2k) = -2(k + -3) (-4 * 5 + 2k * 5) = -2(k + -3) (-20 + 10k) = -2(k + -3) Reorder the terms: -20 + 10k = -2(-3 + k) -20 + 10k = (-3 * -2 + k * -2) -20 + 10k = (6 + -2k) Solving -20 + 10k = 6 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -20 + 10k + 2k = 6 + -2k + 2k Combine like terms: 10k + 2k = 12k -20 + 12k = 6 + -2k + 2k Combine like terms: -2k + 2k = 0 -20 + 12k = 6 + 0 -20 + 12k = 6 Add '20' to each side of the equation. -20 + 20 + 12k = 6 + 20 Combine like terms: -20 + 20 = 0 0 + 12k = 6 + 20 12k = 6 + 20 Combine like terms: 6 + 20 = 26 12k = 26 Divide each side by '12'. k = 2.166666667 Simplifying k = 2.166666667
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