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Simplifying 5(k + -2) = (3k + 9) Reorder the terms: 5(-2 + k) = (3k + 9) (-2 * 5 + k * 5) = (3k + 9) (-10 + 5k) = (3k + 9) Reorder the terms: -10 + 5k = (9 + 3k) Remove parenthesis around (9 + 3k) -10 + 5k = 9 + 3k Solving -10 + 5k = 9 + 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. -10 + 5k + -3k = 9 + 3k + -3k Combine like terms: 5k + -3k = 2k -10 + 2k = 9 + 3k + -3k Combine like terms: 3k + -3k = 0 -10 + 2k = 9 + 0 -10 + 2k = 9 Add '10' to each side of the equation. -10 + 10 + 2k = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 2k = 9 + 10 2k = 9 + 10 Combine like terms: 9 + 10 = 19 2k = 19 Divide each side by '2'. k = 9.5 Simplifying k = 9.5
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