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Simplifying 35 + -2k = 7(k + -4) Reorder the terms: 35 + -2k = 7(-4 + k) 35 + -2k = (-4 * 7 + k * 7) 35 + -2k = (-28 + 7k) Solving 35 + -2k = -28 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 35 + -2k + -7k = -28 + 7k + -7k Combine like terms: -2k + -7k = -9k 35 + -9k = -28 + 7k + -7k Combine like terms: 7k + -7k = 0 35 + -9k = -28 + 0 35 + -9k = -28 Add '-35' to each side of the equation. 35 + -35 + -9k = -28 + -35 Combine like terms: 35 + -35 = 0 0 + -9k = -28 + -35 -9k = -28 + -35 Combine like terms: -28 + -35 = -63 -9k = -63 Divide each side by '-9'. k = 7 Simplifying k = 7
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