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Simplifying 3(k + 1) + -5k = 0 Reorder the terms: 3(1 + k) + -5k = 0 (1 * 3 + k * 3) + -5k = 0 (3 + 3k) + -5k = 0 Combine like terms: 3k + -5k = -2k 3 + -2k = 0 Solving 3 + -2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2k = 0 + -3 -2k = 0 + -3 Combine like terms: 0 + -3 = -3 -2k = -3 Divide each side by '-2'. k = 1.5 Simplifying k = 1.5
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