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Simplifying 5(k + 7) = -5(k + 3) Reorder the terms: 5(7 + k) = -5(k + 3) (7 * 5 + k * 5) = -5(k + 3) (35 + 5k) = -5(k + 3) Reorder the terms: 35 + 5k = -5(3 + k) 35 + 5k = (3 * -5 + k * -5) 35 + 5k = (-15 + -5k) Solving 35 + 5k = -15 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 35 + 5k + 5k = -15 + -5k + 5k Combine like terms: 5k + 5k = 10k 35 + 10k = -15 + -5k + 5k Combine like terms: -5k + 5k = 0 35 + 10k = -15 + 0 35 + 10k = -15 Add '-35' to each side of the equation. 35 + -35 + 10k = -15 + -35 Combine like terms: 35 + -35 = 0 0 + 10k = -15 + -35 10k = -15 + -35 Combine like terms: -15 + -35 = -50 10k = -50 Divide each side by '10'. k = -5 Simplifying k = -5
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