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Simplifying 5k + 3.5 + -6.5k = 19.5 Reorder the terms: 3.5 + 5k + -6.5k = 19.5 Combine like terms: 5k + -6.5k = -1.5k 3.5 + -1.5k = 19.5 Solving 3.5 + -1.5k = 19.5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + -1.5k = 19.5 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -1.5k = 19.5 + -3.5 -1.5k = 19.5 + -3.5 Combine like terms: 19.5 + -3.5 = 16 -1.5k = 16 Divide each side by '-1.5'. k = -10.66666667 Simplifying k = -10.66666667
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