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Simplifying -7(k + -4) = 2k + -35 Reorder the terms: -7(-4 + k) = 2k + -35 (-4 * -7 + k * -7) = 2k + -35 (28 + -7k) = 2k + -35 Reorder the terms: 28 + -7k = -35 + 2k Solving 28 + -7k = -35 + 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. 28 + -7k + -2k = -35 + 2k + -2k Combine like terms: -7k + -2k = -9k 28 + -9k = -35 + 2k + -2k Combine like terms: 2k + -2k = 0 28 + -9k = -35 + 0 28 + -9k = -35 Add '-28' to each side of the equation. 28 + -28 + -9k = -35 + -28 Combine like terms: 28 + -28 = 0 0 + -9k = -35 + -28 -9k = -35 + -28 Combine like terms: -35 + -28 = -63 -9k = -63 Divide each side by '-9'. k = 7 Simplifying k = 7
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