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Simplifying 3 + 5(1 + -1k) + -13k = 2 3 + (1 * 5 + -1k * 5) + -13k = 2 3 + (5 + -5k) + -13k = 2 Combine like terms: 3 + 5 = 8 8 + -5k + -13k = 2 Combine like terms: -5k + -13k = -18k 8 + -18k = 2 Solving 8 + -18k = 2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -18k = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -18k = 2 + -8 -18k = 2 + -8 Combine like terms: 2 + -8 = -6 -18k = -6 Divide each side by '-18'. k = 0.3333333333 Simplifying k = 0.3333333333
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