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Simplifying 15.5k + -19.69 + 7.75 = 0.03 + 16.4k Reorder the terms: -19.69 + 7.75 + 15.5k = 0.03 + 16.4k Combine like terms: -19.69 + 7.75 = -11.94 -11.94 + 15.5k = 0.03 + 16.4k Solving -11.94 + 15.5k = 0.03 + 16.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16.4k' to each side of the equation. -11.94 + 15.5k + -16.4k = 0.03 + 16.4k + -16.4k Combine like terms: 15.5k + -16.4k = -0.9k -11.94 + -0.9k = 0.03 + 16.4k + -16.4k Combine like terms: 16.4k + -16.4k = 0.0 -11.94 + -0.9k = 0.03 + 0.0 -11.94 + -0.9k = 0.03 Add '11.94' to each side of the equation. -11.94 + 11.94 + -0.9k = 0.03 + 11.94 Combine like terms: -11.94 + 11.94 = 0.00 0.00 + -0.9k = 0.03 + 11.94 -0.9k = 0.03 + 11.94 Combine like terms: 0.03 + 11.94 = 11.97 -0.9k = 11.97 Divide each side by '-0.9'. k = -13.3 Simplifying k = -13.3
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