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Simplifying 4.5 + 1.5k = 8 + -3k Solving 4.5 + 1.5k = 8 + -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 = 8 + -3k + 3k Combine like terms: 1.5k + 3k = 4.5k 4.5 + 4.5k = 8 + -3k + 3k Combine like terms: -3k + 3k = 0 4.5 + 4.5k = 8 + 0 4.5 + 4.5k = 8 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 4.5k = 8 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 4.5k = 8 + -4.5 4.5k = 8 + -4.5 Combine like terms: 8 + -4.5 = 3.5 4.5k = 3.5 Divide each side by '4.5'. k = 0.7777777778 Simplifying k = 0.7777777778
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