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Simplifying 5(3k + 3) = 5(4k + -4) Reorder the terms: 5(3 + 3k) = 5(4k + -4) (3 * 5 + 3k * 5) = 5(4k + -4) (15 + 15k) = 5(4k + -4) Reorder the terms: 15 + 15k = 5(-4 + 4k) 15 + 15k = (-4 * 5 + 4k * 5) 15 + 15k = (-20 + 20k) Solving 15 + 15k = -20 + 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. 15 + 15k + -20k = -20 + 20k + -20k Combine like terms: 15k + -20k = -5k 15 + -5k = -20 + 20k + -20k Combine like terms: 20k + -20k = 0 15 + -5k = -20 + 0 15 + -5k = -20 Add '-15' to each side of the equation. 15 + -15 + -5k = -20 + -15 Combine like terms: 15 + -15 = 0 0 + -5k = -20 + -15 -5k = -20 + -15 Combine like terms: -20 + -15 = -35 -5k = -35 Divide each side by '-5'. k = 7 Simplifying k = 7
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