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Simplifying 2(k + 5) = 15k Reorder the terms: 2(5 + k) = 15k (5 * 2 + k * 2) = 15k (10 + 2k) = 15k Solving 10 + 2k = 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. 10 + 2k + -15k = 15k + -15k Combine like terms: 2k + -15k = -13k 10 + -13k = 15k + -15k Combine like terms: 15k + -15k = 0 10 + -13k = 0 Add '-10' to each side of the equation. 10 + -10 + -13k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -13k = 0 + -10 -13k = 0 + -10 Combine like terms: 0 + -10 = -10 -13k = -10 Divide each side by '-13'. k = 0.7692307692 Simplifying k = 0.7692307692
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