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Simplifying 20 + 5k = 5(1 + 2k) 20 + 5k = (1 * 5 + 2k * 5) 20 + 5k = (5 + 10k) Solving 20 + 5k = 5 + 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. 20 + 5k + -10k = 5 + 10k + -10k Combine like terms: 5k + -10k = -5k 20 + -5k = 5 + 10k + -10k Combine like terms: 10k + -10k = 0 20 + -5k = 5 + 0 20 + -5k = 5 Add '-20' to each side of the equation. 20 + -20 + -5k = 5 + -20 Combine like terms: 20 + -20 = 0 0 + -5k = 5 + -20 -5k = 5 + -20 Combine like terms: 5 + -20 = -15 -5k = -15 Divide each side by '-5'. k = 3 Simplifying k = 3
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