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Simplifying 3(2k + 3) + -2(k + -5) = 0 Reorder the terms: 3(3 + 2k) + -2(k + -5) = 0 (3 * 3 + 2k * 3) + -2(k + -5) = 0 (9 + 6k) + -2(k + -5) = 0 Reorder the terms: 9 + 6k + -2(-5 + k) = 0 9 + 6k + (-5 * -2 + k * -2) = 0 9 + 6k + (10 + -2k) = 0 Reorder the terms: 9 + 10 + 6k + -2k = 0 Combine like terms: 9 + 10 = 19 19 + 6k + -2k = 0 Combine like terms: 6k + -2k = 4k 19 + 4k = 0 Solving 19 + 4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 4k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 4k = 0 + -19 4k = 0 + -19 Combine like terms: 0 + -19 = -19 4k = -19 Divide each side by '4'. k = -4.75 Simplifying k = -4.75
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