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Simplifying 0.25d + -3D + 0.75(d + -1) = 4.25 Reorder the terms: 0.25d + -3D + 0.75(-1 + d) = 4.25 0.25d + -3D + (-1 * 0.75 + d * 0.75) = 4.25 0.25d + -3D + (-0.75 + 0.75d) = 4.25 Reorder the terms: -0.75 + -3D + 0.25d + 0.75d = 4.25 Combine like terms: 0.25d + 0.75d = 1d -0.75 + -3D + 1d = 4.25 Solving -0.75 + -3D + 1d = 4.25 Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + -3D + 0.75 + 1d = 4.25 + 0.75 Reorder the terms: -0.75 + 0.75 + -3D + 1d = 4.25 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + -3D + 1d = 4.25 + 0.75 -3D + 1d = 4.25 + 0.75 Combine like terms: 4.25 + 0.75 = 5 -3D + 1d = 5 Add '-1d' to each side of the equation. -3D + 1d + -1d = 5 + -1d Combine like terms: 1d + -1d = 0 -3D + 0 = 5 + -1d -3D = 5 + -1d Divide each side by '-3'. D = -1.666666667 + 0.3333333333d Simplifying D = -1.666666667 + 0.3333333333d
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