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Simplifying 2.5 + -1.5k = 14 Solving 2.5 + -1.5k = 14 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + -1.5k = 14 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -1.5k = 14 + -2.5 -1.5k = 14 + -2.5 Combine like terms: 14 + -2.5 = 11.5 -1.5k = 11.5 Divide each side by '-1.5'. k = -7.666666667 Simplifying k = -7.666666667
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