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Simplifying 5(3d + -2) = 7d + 20 + -2d Reorder the terms: 5(-2 + 3d) = 7d + 20 + -2d (-2 * 5 + 3d * 5) = 7d + 20 + -2d (-10 + 15d) = 7d + 20 + -2d Reorder the terms: -10 + 15d = 20 + 7d + -2d Combine like terms: 7d + -2d = 5d -10 + 15d = 20 + 5d Solving -10 + 15d = 20 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. -10 + 15d + -5d = 20 + 5d + -5d Combine like terms: 15d + -5d = 10d -10 + 10d = 20 + 5d + -5d Combine like terms: 5d + -5d = 0 -10 + 10d = 20 + 0 -10 + 10d = 20 Add '10' to each side of the equation. -10 + 10 + 10d = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 10d = 20 + 10 10d = 20 + 10 Combine like terms: 20 + 10 = 30 10d = 30 Divide each side by '10'. d = 3 Simplifying d = 3
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