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Simplifying 0.16d + 0.75 = 0.25(d + -2) Reorder the terms: 0.75 + 0.16d = 0.25(d + -2) Reorder the terms: 0.75 + 0.16d = 0.25(-2 + d) 0.75 + 0.16d = (-2 * 0.25 + d * 0.25) 0.75 + 0.16d = (-0.5 + 0.25d) Solving 0.75 + 0.16d = -0.5 + 0.25d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.25d' to each side of the equation. 0.75 + 0.16d + -0.25d = -0.5 + 0.25d + -0.25d Combine like terms: 0.16d + -0.25d = -0.09d 0.75 + -0.09d = -0.5 + 0.25d + -0.25d Combine like terms: 0.25d + -0.25d = 0.00 0.75 + -0.09d = -0.5 + 0.00 0.75 + -0.09d = -0.5 Add '-0.75' to each side of the equation. 0.75 + -0.75 + -0.09d = -0.5 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.09d = -0.5 + -0.75 -0.09d = -0.5 + -0.75 Combine like terms: -0.5 + -0.75 = -1.25 -0.09d = -1.25 Divide each side by '-0.09'. d = 13.88888889 Simplifying d = 13.88888889
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