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Simplifying 5(2k + 3) + -1(4k + -6) = -9 Reorder the terms: 5(3 + 2k) + -1(4k + -6) = -9 (3 * 5 + 2k * 5) + -1(4k + -6) = -9 (15 + 10k) + -1(4k + -6) = -9 Reorder the terms: 15 + 10k + -1(-6 + 4k) = -9 15 + 10k + (-6 * -1 + 4k * -1) = -9 15 + 10k + (6 + -4k) = -9 Reorder the terms: 15 + 6 + 10k + -4k = -9 Combine like terms: 15 + 6 = 21 21 + 10k + -4k = -9 Combine like terms: 10k + -4k = 6k 21 + 6k = -9 Solving 21 + 6k = -9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 6k = -9 + -21 Combine like terms: 21 + -21 = 0 0 + 6k = -9 + -21 6k = -9 + -21 Combine like terms: -9 + -21 = -30 6k = -30 Divide each side by '6'. k = -5 Simplifying k = -5
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