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Simplifying 7 + 2(5k + 4) = -21 + -2k Reorder the terms: 7 + 2(4 + 5k) = -21 + -2k 7 + (4 * 2 + 5k * 2) = -21 + -2k 7 + (8 + 10k) = -21 + -2k Combine like terms: 7 + 8 = 15 15 + 10k = -21 + -2k Solving 15 + 10k = -21 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 15 + 10k + 2k = -21 + -2k + 2k Combine like terms: 10k + 2k = 12k 15 + 12k = -21 + -2k + 2k Combine like terms: -2k + 2k = 0 15 + 12k = -21 + 0 15 + 12k = -21 Add '-15' to each side of the equation. 15 + -15 + 12k = -21 + -15 Combine like terms: 15 + -15 = 0 0 + 12k = -21 + -15 12k = -21 + -15 Combine like terms: -21 + -15 = -36 12k = -36 Divide each side by '12'. k = -3 Simplifying k = -3
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