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Simplifying 5(2k + -3) + 2(k + 4) = 17 Reorder the terms: 5(-3 + 2k) + 2(k + 4) = 17 (-3 * 5 + 2k * 5) + 2(k + 4) = 17 (-15 + 10k) + 2(k + 4) = 17 Reorder the terms: -15 + 10k + 2(4 + k) = 17 -15 + 10k + (4 * 2 + k * 2) = 17 -15 + 10k + (8 + 2k) = 17 Reorder the terms: -15 + 8 + 10k + 2k = 17 Combine like terms: -15 + 8 = -7 -7 + 10k + 2k = 17 Combine like terms: 10k + 2k = 12k -7 + 12k = 17 Solving -7 + 12k = 17 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 12k = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 12k = 17 + 7 12k = 17 + 7 Combine like terms: 17 + 7 = 24 12k = 24 Divide each side by '12'. k = 2 Simplifying k = 2
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