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Simplifying 3(5 + -4k) = 45 (5 * 3 + -4k * 3) = 45 (15 + -12k) = 45 Solving 15 + -12k = 45 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 + -12k = 45 + -15 Combine like terms: 15 + -15 = 0 0 + -12k = 45 + -15 -12k = 45 + -15 Combine like terms: 45 + -15 = 30 -12k = 30 Divide each side by '-12'. k = -2.5 Simplifying k = -2.5
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