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Simplifying 35 = -5 + 5(2k + 10) Reorder the terms: 35 = -5 + 5(10 + 2k) 35 = -5 + (10 * 5 + 2k * 5) 35 = -5 + (50 + 10k) Combine like terms: -5 + 50 = 45 35 = 45 + 10k Solving 35 = 45 + 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. 35 + -10k = 45 + 10k + -10k Combine like terms: 10k + -10k = 0 35 + -10k = 45 + 0 35 + -10k = 45 Add '-35' to each side of the equation. 35 + -35 + -10k = 45 + -35 Combine like terms: 35 + -35 = 0 0 + -10k = 45 + -35 -10k = 45 + -35 Combine like terms: 45 + -35 = 10 -10k = 10 Divide each side by '-10'. k = -1 Simplifying k = -1
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