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Simplifying 2(k + 7) + -3(4k + -3) = 10k + -23 Reorder the terms: 2(7 + k) + -3(4k + -3) = 10k + -23 (7 * 2 + k * 2) + -3(4k + -3) = 10k + -23 (14 + 2k) + -3(4k + -3) = 10k + -23 Reorder the terms: 14 + 2k + -3(-3 + 4k) = 10k + -23 14 + 2k + (-3 * -3 + 4k * -3) = 10k + -23 14 + 2k + (9 + -12k) = 10k + -23 Reorder the terms: 14 + 9 + 2k + -12k = 10k + -23 Combine like terms: 14 + 9 = 23 23 + 2k + -12k = 10k + -23 Combine like terms: 2k + -12k = -10k 23 + -10k = 10k + -23 Reorder the terms: 23 + -10k = -23 + 10k Solving 23 + -10k = -23 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 23 + -10k + -10k = -23 + 10k + -10k Combine like terms: -10k + -10k = -20k 23 + -20k = -23 + 10k + -10k Combine like terms: 10k + -10k = 0 23 + -20k = -23 + 0 23 + -20k = -23 Add '-23' to each side of the equation. 23 + -23 + -20k = -23 + -23 Combine like terms: 23 + -23 = 0 0 + -20k = -23 + -23 -20k = -23 + -23 Combine like terms: -23 + -23 = -46 -20k = -46 Divide each side by '-20'. k = 2.3 Simplifying k = 2.3
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