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Simplifying 1.25(3d + -2) = 0.25(d + 5) Reorder the terms: 1.25(-2 + 3d) = 0.25(d + 5) (-2 * 1.25 + 3d * 1.25) = 0.25(d + 5) (-2.5 + 3.75d) = 0.25(d + 5) Reorder the terms: -2.5 + 3.75d = 0.25(5 + d) -2.5 + 3.75d = (5 * 0.25 + d * 0.25) -2.5 + 3.75d = (1.25 + 0.25d) Solving -2.5 + 3.75d = 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. -2.5 + 3.75d + -0.25d = 1.25 + 0.25d + -0.25d Combine like terms: 3.75d + -0.25d = 3.5d -2.5 + 3.5d = 1.25 + 0.25d + -0.25d Combine like terms: 0.25d + -0.25d = 0.00 -2.5 + 3.5d = 1.25 + 0.00 -2.5 + 3.5d = 1.25 Add '2.5' to each side of the equation. -2.5 + 2.5 + 3.5d = 1.25 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 3.5d = 1.25 + 2.5 3.5d = 1.25 + 2.5 Combine like terms: 1.25 + 2.5 = 3.75 3.5d = 3.75 Divide each side by '3.5'. d = 1.071428571 Simplifying d = 1.071428571
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