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Simplifying 5(k + 7) = -2k + 35 Reorder the terms: 5(7 + k) = -2k + 35 (7 * 5 + k * 5) = -2k + 35 (35 + 5k) = -2k + 35 Reorder the terms: 35 + 5k = 35 + -2k Add '-35' to each side of the equation. 35 + -35 + 5k = 35 + -35 + -2k Combine like terms: 35 + -35 = 0 0 + 5k = 35 + -35 + -2k 5k = 35 + -35 + -2k Combine like terms: 35 + -35 = 0 5k = 0 + -2k 5k = -2k Solving 5k = -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 5k + 2k = -2k + 2k Combine like terms: 5k + 2k = 7k 7k = -2k + 2k Combine like terms: -2k + 2k = 0 7k = 0 Divide each side by '7'. k = 0 Simplifying k = 0
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