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Simplifying 6.3 + -1.4k + 3.5 = 52.5 Reorder the terms: 6.3 + 3.5 + -1.4k = 52.5 Combine like terms: 6.3 + 3.5 = 9.8 9.8 + -1.4k = 52.5 Solving 9.8 + -1.4k = 52.5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9.8' to each side of the equation. 9.8 + -9.8 + -1.4k = 52.5 + -9.8 Combine like terms: 9.8 + -9.8 = 0.0 0.0 + -1.4k = 52.5 + -9.8 -1.4k = 52.5 + -9.8 Combine like terms: 52.5 + -9.8 = 42.7 -1.4k = 42.7 Divide each side by '-1.4'. k = -30.5 Simplifying k = -30.5
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