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Simplifying 12 + -3(k + 5) = 48 Reorder the terms: 12 + -3(5 + k) = 48 12 + (5 * -3 + k * -3) = 48 12 + (-15 + -3k) = 48 Combine like terms: 12 + -15 = -3 -3 + -3k = 48 Solving -3 + -3k = 48 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -3k = 48 + 3 Combine like terms: -3 + 3 = 0 0 + -3k = 48 + 3 -3k = 48 + 3 Combine like terms: 48 + 3 = 51 -3k = 51 Divide each side by '-3'. k = -17 Simplifying k = -17
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