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Simplifying 0.5(-6k + 26) = 5 + 15k Reorder the terms: 0.5(26 + -6k) = 5 + 15k (26 * 0.5 + -6k * 0.5) = 5 + 15k (13 + -3k) = 5 + 15k Solving 13 + -3k = 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. 13 + -3k + -15k = 5 + 15k + -15k Combine like terms: -3k + -15k = -18k 13 + -18k = 5 + 15k + -15k Combine like terms: 15k + -15k = 0 13 + -18k = 5 + 0 13 + -18k = 5 Add '-13' to each side of the equation. 13 + -13 + -18k = 5 + -13 Combine like terms: 13 + -13 = 0 0 + -18k = 5 + -13 -18k = 5 + -13 Combine like terms: 5 + -13 = -8 -18k = -8 Divide each side by '-18'. k = 0.4444444444 Simplifying k = 0.4444444444
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