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Simplifying 5(2k + -3) = -2k + 9 Reorder the terms: 5(-3 + 2k) = -2k + 9 (-3 * 5 + 2k * 5) = -2k + 9 (-15 + 10k) = -2k + 9 Reorder the terms: -15 + 10k = 9 + -2k Solving -15 + 10k = 9 + -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. -15 + 10k + 2k = 9 + -2k + 2k Combine like terms: 10k + 2k = 12k -15 + 12k = 9 + -2k + 2k Combine like terms: -2k + 2k = 0 -15 + 12k = 9 + 0 -15 + 12k = 9 Add '15' to each side of the equation. -15 + 15 + 12k = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 12k = 9 + 15 12k = 9 + 15 Combine like terms: 9 + 15 = 24 12k = 24 Divide each side by '12'. k = 2 Simplifying k = 2
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