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Simplifying -5k + -35 = 5(-6k + 3) Reorder the terms: -35 + -5k = 5(-6k + 3) Reorder the terms: -35 + -5k = 5(3 + -6k) -35 + -5k = (3 * 5 + -6k * 5) -35 + -5k = (15 + -30k) Solving -35 + -5k = 15 + -30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30k' to each side of the equation. -35 + -5k + 30k = 15 + -30k + 30k Combine like terms: -5k + 30k = 25k -35 + 25k = 15 + -30k + 30k Combine like terms: -30k + 30k = 0 -35 + 25k = 15 + 0 -35 + 25k = 15 Add '35' to each side of the equation. -35 + 35 + 25k = 15 + 35 Combine like terms: -35 + 35 = 0 0 + 25k = 15 + 35 25k = 15 + 35 Combine like terms: 15 + 35 = 50 25k = 50 Divide each side by '25'. k = 2 Simplifying k = 2
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