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Simplifying 10k + 20 = 8(k + 20) Reorder the terms: 20 + 10k = 8(k + 20) Reorder the terms: 20 + 10k = 8(20 + k) 20 + 10k = (20 * 8 + k * 8) 20 + 10k = (160 + 8k) Solving 20 + 10k = 160 + 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. 20 + 10k + -8k = 160 + 8k + -8k Combine like terms: 10k + -8k = 2k 20 + 2k = 160 + 8k + -8k Combine like terms: 8k + -8k = 0 20 + 2k = 160 + 0 20 + 2k = 160 Add '-20' to each side of the equation. 20 + -20 + 2k = 160 + -20 Combine like terms: 20 + -20 = 0 0 + 2k = 160 + -20 2k = 160 + -20 Combine like terms: 160 + -20 = 140 2k = 140 Divide each side by '2'. k = 70 Simplifying k = 70
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