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Simplifying 2 = 5(1 + 3k) 2 = (1 * 5 + 3k * 5) 2 = (5 + 15k) Solving 2 = 5 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 2 + -15k = 5 + 15k + -15k Combine like terms: 15k + -15k = 0 2 + -15k = 5 + 0 2 + -15k = 5 Add '-2' to each side of the equation. 2 + -2 + -15k = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -15k = 5 + -2 -15k = 5 + -2 Combine like terms: 5 + -2 = 3 -15k = 3 Divide each side by '-15'. k = -0.2 Simplifying k = -0.2
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