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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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