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Simplifying 35 = -5(k + 8) + -5(-5k + 5) Reorder the terms: 35 = -5(8 + k) + -5(-5k + 5) 35 = (8 * -5 + k * -5) + -5(-5k + 5) 35 = (-40 + -5k) + -5(-5k + 5) Reorder the terms: 35 = -40 + -5k + -5(5 + -5k) 35 = -40 + -5k + (5 * -5 + -5k * -5) 35 = -40 + -5k + (-25 + 25k) Reorder the terms: 35 = -40 + -25 + -5k + 25k Combine like terms: -40 + -25 = -65 35 = -65 + -5k + 25k Combine like terms: -5k + 25k = 20k 35 = -65 + 20k Solving 35 = -65 + 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. 35 + -20k = -65 + 20k + -20k Combine like terms: 20k + -20k = 0 35 + -20k = -65 + 0 35 + -20k = -65 Add '-35' to each side of the equation. 35 + -35 + -20k = -65 + -35 Combine like terms: 35 + -35 = 0 0 + -20k = -65 + -35 -20k = -65 + -35 Combine like terms: -65 + -35 = -100 -20k = -100 Divide each side by '-20'. k = 5 Simplifying k = 5
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