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Simplifying 4.5k + 2 = 12k Reorder the terms: 2 + 4.5k = 12k Solving 2 + 4.5k = 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 2 + 4.5k + -12k = 12k + -12k Combine like terms: 4.5k + -12k = -7.5k 2 + -7.5k = 12k + -12k Combine like terms: 12k + -12k = 0 2 + -7.5k = 0 Add '-2' to each side of the equation. 2 + -2 + -7.5k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7.5k = 0 + -2 -7.5k = 0 + -2 Combine like terms: 0 + -2 = -2 -7.5k = -2 Divide each side by '-7.5'. k = 0.2666666667 Simplifying k = 0.2666666667
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