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Simplifying 5(1 + 3k) = 2 (1 * 5 + 3k * 5) = 2 (5 + 15k) = 2 Solving 5 + 15k = 2 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 + 15k = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 15k = 2 + -5 15k = 2 + -5 Combine like terms: 2 + -5 = -3 15k = -3 Divide each side by '15'. k = -0.2 Simplifying k = -0.2
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