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Simplifying 75 = 3(1 + -4k) 75 = (1 * 3 + -4k * 3) 75 = (3 + -12k) Solving 75 = 3 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. 75 + 12k = 3 + -12k + 12k Combine like terms: -12k + 12k = 0 75 + 12k = 3 + 0 75 + 12k = 3 Add '-75' to each side of the equation. 75 + -75 + 12k = 3 + -75 Combine like terms: 75 + -75 = 0 0 + 12k = 3 + -75 12k = 3 + -75 Combine like terms: 3 + -75 = -72 12k = -72 Divide each side by '12'. k = -6 Simplifying k = -6
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