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Simplifying -3(-32.7 + 78.5k) = -5(49.9k + -86.82) (-32.7 * -3 + 78.5k * -3) = -5(49.9k + -86.82) (98.1 + -235.5k) = -5(49.9k + -86.82) Reorder the terms: 98.1 + -235.5k = -5(-86.82 + 49.9k) 98.1 + -235.5k = (-86.82 * -5 + 49.9k * -5) 98.1 + -235.5k = (434.1 + -249.5k) Solving 98.1 + -235.5k = 434.1 + -249.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '249.5k' to each side of the equation. 98.1 + -235.5k + 249.5k = 434.1 + -249.5k + 249.5k Combine like terms: -235.5k + 249.5k = 14k 98.1 + 14k = 434.1 + -249.5k + 249.5k Combine like terms: -249.5k + 249.5k = 0.0 98.1 + 14k = 434.1 + 0.0 98.1 + 14k = 434.1 Add '-98.1' to each side of the equation. 98.1 + -98.1 + 14k = 434.1 + -98.1 Combine like terms: 98.1 + -98.1 = 0.0 0.0 + 14k = 434.1 + -98.1 14k = 434.1 + -98.1 Combine like terms: 434.1 + -98.1 = 336 14k = 336 Divide each side by '14'. k = 24 Simplifying k = 24
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