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