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Simplifying 35 = -5(k + 5) Reorder the terms: 35 = -5(5 + k) 35 = (5 * -5 + k * -5) 35 = (-25 + -5k) Solving 35 = -25 + -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 = -25 + -5k + 5k Combine like terms: -5k + 5k = 0 35 + 5k = -25 + 0 35 + 5k = -25 Add '-35' to each side of the equation. 35 + -35 + 5k = -25 + -35 Combine like terms: 35 + -35 = 0 0 + 5k = -25 + -35 5k = -25 + -35 Combine like terms: -25 + -35 = -60 5k = -60 Divide each side by '5'. k = -12 Simplifying k = -12
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