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Simplifying 98.1 + -61.1k + -96.9k = 5(-33.5k + -99.91) + -93 Combine like terms: -61.1k + -96.9k = -158k 98.1 + -158k = 5(-33.5k + -99.91) + -93 Reorder the terms: 98.1 + -158k = 5(-99.91 + -33.5k) + -93 98.1 + -158k = (-99.91 * 5 + -33.5k * 5) + -93 98.1 + -158k = (-499.55 + -167.5k) + -93 Reorder the terms: 98.1 + -158k = -499.55 + -93 + -167.5k Combine like terms: -499.55 + -93 = -592.55 98.1 + -158k = -592.55 + -167.5k Solving 98.1 + -158k = -592.55 + -167.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '167.5k' to each side of the equation. 98.1 + -158k + 167.5k = -592.55 + -167.5k + 167.5k Combine like terms: -158k + 167.5k = 9.5k 98.1 + 9.5k = -592.55 + -167.5k + 167.5k Combine like terms: -167.5k + 167.5k = 0.0 98.1 + 9.5k = -592.55 + 0.0 98.1 + 9.5k = -592.55 Add '-98.1' to each side of the equation. 98.1 + -98.1 + 9.5k = -592.55 + -98.1 Combine like terms: 98.1 + -98.1 = 0.0 0.0 + 9.5k = -592.55 + -98.1 9.5k = -592.55 + -98.1 Combine like terms: -592.55 + -98.1 = -690.65 9.5k = -690.65 Divide each side by '9.5'. k = -72.7 Simplifying k = -72.7
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