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Simplifying 12k + -3(k + -5) = 48 Reorder the terms: 12k + -3(-5 + k) = 48 12k + (-5 * -3 + k * -3) = 48 12k + (15 + -3k) = 48 Reorder the terms: 15 + 12k + -3k = 48 Combine like terms: 12k + -3k = 9k 15 + 9k = 48 Solving 15 + 9k = 48 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 9k = 48 + -15 Combine like terms: 15 + -15 = 0 0 + 9k = 48 + -15 9k = 48 + -15 Combine like terms: 48 + -15 = 33 9k = 33 Divide each side by '9'. k = 3.666666667 Simplifying k = 3.666666667
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