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Simplifying -16.5 = 5(5.5k + -8) Reorder the terms: -16.5 = 5(-8 + 5.5k) -16.5 = (-8 * 5 + 5.5k * 5) -16.5 = (-40 + 27.5k) Solving -16.5 = -40 + 27.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-27.5k' to each side of the equation. -16.5 + -27.5k = -40 + 27.5k + -27.5k Combine like terms: 27.5k + -27.5k = 0.0 -16.5 + -27.5k = -40 + 0.0 -16.5 + -27.5k = -40 Add '16.5' to each side of the equation. -16.5 + 16.5 + -27.5k = -40 + 16.5 Combine like terms: -16.5 + 16.5 = 0.0 0.0 + -27.5k = -40 + 16.5 -27.5k = -40 + 16.5 Combine like terms: -40 + 16.5 = -23.5 -27.5k = -23.5 Divide each side by '-27.5'. k = 0.8545454545 Simplifying k = 0.8545454545
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