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Simplifying 3d + 2d + -14 = 20d + -30 Reorder the terms: -14 + 3d + 2d = 20d + -30 Combine like terms: 3d + 2d = 5d -14 + 5d = 20d + -30 Reorder the terms: -14 + 5d = -30 + 20d Solving -14 + 5d = -30 + 20d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-20d' to each side of the equation. -14 + 5d + -20d = -30 + 20d + -20d Combine like terms: 5d + -20d = -15d -14 + -15d = -30 + 20d + -20d Combine like terms: 20d + -20d = 0 -14 + -15d = -30 + 0 -14 + -15d = -30 Add '14' to each side of the equation. -14 + 14 + -15d = -30 + 14 Combine like terms: -14 + 14 = 0 0 + -15d = -30 + 14 -15d = -30 + 14 Combine like terms: -30 + 14 = -16 -15d = -16 Divide each side by '-15'. d = 1.066666667 Simplifying d = 1.066666667
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