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Simplifying 3(2k + 7) + -2(k + 2) = 0 Reorder the terms: 3(7 + 2k) + -2(k + 2) = 0 (7 * 3 + 2k * 3) + -2(k + 2) = 0 (21 + 6k) + -2(k + 2) = 0 Reorder the terms: 21 + 6k + -2(2 + k) = 0 21 + 6k + (2 * -2 + k * -2) = 0 21 + 6k + (-4 + -2k) = 0 Reorder the terms: 21 + -4 + 6k + -2k = 0 Combine like terms: 21 + -4 = 17 17 + 6k + -2k = 0 Combine like terms: 6k + -2k = 4k 17 + 4k = 0 Solving 17 + 4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 4k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 4k = 0 + -17 4k = 0 + -17 Combine like terms: 0 + -17 = -17 4k = -17 Divide each side by '4'. k = -4.25 Simplifying k = -4.25
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