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Simplifying 100 = 5(2k + 4) Reorder the terms: 100 = 5(4 + 2k) 100 = (4 * 5 + 2k * 5) 100 = (20 + 10k) Solving 100 = 20 + 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. 100 + -10k = 20 + 10k + -10k Combine like terms: 10k + -10k = 0 100 + -10k = 20 + 0 100 + -10k = 20 Add '-100' to each side of the equation. 100 + -100 + -10k = 20 + -100 Combine like terms: 100 + -100 = 0 0 + -10k = 20 + -100 -10k = 20 + -100 Combine like terms: 20 + -100 = -80 -10k = -80 Divide each side by '-10'. k = 8 Simplifying k = 8
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