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Simplifying 0.125(3d + -2) = 0.25(d + 5) Reorder the terms: 0.125(-2 + 3d) = 0.25(d + 5) (-2 * 0.125 + 3d * 0.125) = 0.25(d + 5) (-0.25 + 0.375d) = 0.25(d + 5) Reorder the terms: -0.25 + 0.375d = 0.25(5 + d) -0.25 + 0.375d = (5 * 0.25 + d * 0.25) -0.25 + 0.375d = (1.25 + 0.25d) Solving -0.25 + 0.375d = 1.25 + 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. -0.25 + 0.375d + -0.25d = 1.25 + 0.25d + -0.25d Combine like terms: 0.375d + -0.25d = 0.125d -0.25 + 0.125d = 1.25 + 0.25d + -0.25d Combine like terms: 0.25d + -0.25d = 0.00 -0.25 + 0.125d = 1.25 + 0.00 -0.25 + 0.125d = 1.25 Add '0.25' to each side of the equation. -0.25 + 0.25 + 0.125d = 1.25 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + 0.125d = 1.25 + 0.25 0.125d = 1.25 + 0.25 Combine like terms: 1.25 + 0.25 = 1.5 0.125d = 1.5 Divide each side by '0.125'. d = 12 Simplifying d = 12
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