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Simplifying 85.44 = 8(7d + -5) Reorder the terms: 85.44 = 8(-5 + 7d) 85.44 = (-5 * 8 + 7d * 8) 85.44 = (-40 + 56d) Solving 85.44 = -40 + 56d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-56d' to each side of the equation. 85.44 + -56d = -40 + 56d + -56d Combine like terms: 56d + -56d = 0 85.44 + -56d = -40 + 0 85.44 + -56d = -40 Add '-85.44' to each side of the equation. 85.44 + -85.44 + -56d = -40 + -85.44 Combine like terms: 85.44 + -85.44 = 0.00 0.00 + -56d = -40 + -85.44 -56d = -40 + -85.44 Combine like terms: -40 + -85.44 = -125.44 -56d = -125.44 Divide each side by '-56'. d = 2.24 Simplifying d = 2.24
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