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Simplifying -12(k + 40) = 60 Reorder the terms: -12(40 + k) = 60 (40 * -12 + k * -12) = 60 (-480 + -12k) = 60 Solving -480 + -12k = 60 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '480' to each side of the equation. -480 + 480 + -12k = 60 + 480 Combine like terms: -480 + 480 = 0 0 + -12k = 60 + 480 -12k = 60 + 480 Combine like terms: 60 + 480 = 540 -12k = 540 Divide each side by '-12'. k = -45 Simplifying k = -45
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