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Simplifying 4.5 + 1.5k = 18 + -13k Solving 4.5 + 1.5k = 18 + -13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13k' to each side of the equation. 4.5 + 1.5k + 13k = 18 + -13k + 13k Combine like terms: 1.5k + 13k = 14.5k 4.5 + 14.5k = 18 + -13k + 13k Combine like terms: -13k + 13k = 0 4.5 + 14.5k = 18 + 0 4.5 + 14.5k = 18 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 14.5k = 18 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 14.5k = 18 + -4.5 14.5k = 18 + -4.5 Combine like terms: 18 + -4.5 = 13.5 14.5k = 13.5 Divide each side by '14.5'. k = 0.9310344828 Simplifying k = 0.9310344828
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