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Simplifying 0.16d + 4.66 = 0.25(d + -2) Reorder the terms: 4.66 + 0.16d = 0.25(d + -2) Reorder the terms: 4.66 + 0.16d = 0.25(-2 + d) 4.66 + 0.16d = (-2 * 0.25 + d * 0.25) 4.66 + 0.16d = (-0.5 + 0.25d) Solving 4.66 + 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. 4.66 + 0.16d + -0.25d = -0.5 + 0.25d + -0.25d Combine like terms: 0.16d + -0.25d = -0.09d 4.66 + -0.09d = -0.5 + 0.25d + -0.25d Combine like terms: 0.25d + -0.25d = 0.00 4.66 + -0.09d = -0.5 + 0.00 4.66 + -0.09d = -0.5 Add '-4.66' to each side of the equation. 4.66 + -4.66 + -0.09d = -0.5 + -4.66 Combine like terms: 4.66 + -4.66 = 0.00 0.00 + -0.09d = -0.5 + -4.66 -0.09d = -0.5 + -4.66 Combine like terms: -0.5 + -4.66 = -5.16 -0.09d = -5.16 Divide each side by '-0.09'. d = 57.33333333 Simplifying d = 57.33333333
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