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Simplifying 5(k + -3) = 3(k + -2) Reorder the terms: 5(-3 + k) = 3(k + -2) (-3 * 5 + k * 5) = 3(k + -2) (-15 + 5k) = 3(k + -2) Reorder the terms: -15 + 5k = 3(-2 + k) -15 + 5k = (-2 * 3 + k * 3) -15 + 5k = (-6 + 3k) Solving -15 + 5k = -6 + 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. -15 + 5k + -3k = -6 + 3k + -3k Combine like terms: 5k + -3k = 2k -15 + 2k = -6 + 3k + -3k Combine like terms: 3k + -3k = 0 -15 + 2k = -6 + 0 -15 + 2k = -6 Add '15' to each side of the equation. -15 + 15 + 2k = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 2k = -6 + 15 2k = -6 + 15 Combine like terms: -6 + 15 = 9 2k = 9 Divide each side by '2'. k = 4.5 Simplifying k = 4.5
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