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Simplifying 5(1 + 4k) = 33 (1 * 5 + 4k * 5) = 33 (5 + 20k) = 33 Solving 5 + 20k = 33 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 20k = 33 + -5 Combine like terms: 5 + -5 = 0 0 + 20k = 33 + -5 20k = 33 + -5 Combine like terms: 33 + -5 = 28 20k = 28 Divide each side by '20'. k = 1.4 Simplifying k = 1.4
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