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Simplifying 4.5 + 1.5k = 19 + -3k Solving 4.5 + 1.5k = 19 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 4.5 + 1.5k + 3k = 19 + -3k + 3k Combine like terms: 1.5k + 3k = 4.5k 4.5 + 4.5k = 19 + -3k + 3k Combine like terms: -3k + 3k = 0 4.5 + 4.5k = 19 + 0 4.5 + 4.5k = 19 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 4.5k = 19 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 4.5k = 19 + -4.5 4.5k = 19 + -4.5 Combine like terms: 19 + -4.5 = 14.5 4.5k = 14.5 Divide each side by '4.5'. k = 3.222222222 Simplifying k = 3.222222222
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