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Simplifying 4 = 2k + -5(k + 7) Reorder the terms: 4 = 2k + -5(7 + k) 4 = 2k + (7 * -5 + k * -5) 4 = 2k + (-35 + -5k) Reorder the terms: 4 = -35 + 2k + -5k Combine like terms: 2k + -5k = -3k 4 = -35 + -3k Solving 4 = -35 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 4 + 3k = -35 + -3k + 3k Combine like terms: -3k + 3k = 0 4 + 3k = -35 + 0 4 + 3k = -35 Add '-4' to each side of the equation. 4 + -4 + 3k = -35 + -4 Combine like terms: 4 + -4 = 0 0 + 3k = -35 + -4 3k = -35 + -4 Combine like terms: -35 + -4 = -39 3k = -39 Divide each side by '3'. k = -13 Simplifying k = -13
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