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Simplifying 10(5 + -1k) + 8 = -8(k + -3) + -9 (5 * 10 + -1k * 10) + 8 = -8(k + -3) + -9 (50 + -10k) + 8 = -8(k + -3) + -9 Reorder the terms: 50 + 8 + -10k = -8(k + -3) + -9 Combine like terms: 50 + 8 = 58 58 + -10k = -8(k + -3) + -9 Reorder the terms: 58 + -10k = -8(-3 + k) + -9 58 + -10k = (-3 * -8 + k * -8) + -9 58 + -10k = (24 + -8k) + -9 Reorder the terms: 58 + -10k = 24 + -9 + -8k Combine like terms: 24 + -9 = 15 58 + -10k = 15 + -8k Solving 58 + -10k = 15 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 58 + -10k + 8k = 15 + -8k + 8k Combine like terms: -10k + 8k = -2k 58 + -2k = 15 + -8k + 8k Combine like terms: -8k + 8k = 0 58 + -2k = 15 + 0 58 + -2k = 15 Add '-58' to each side of the equation. 58 + -58 + -2k = 15 + -58 Combine like terms: 58 + -58 = 0 0 + -2k = 15 + -58 -2k = 15 + -58 Combine like terms: 15 + -58 = -43 -2k = -43 Divide each side by '-2'. k = 21.5 Simplifying k = 21.5
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