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Simplifying 4d + 2 + -3d = 15d + -35 + 4d Reorder the terms: 2 + 4d + -3d = 15d + -35 + 4d Combine like terms: 4d + -3d = 1d 2 + 1d = 15d + -35 + 4d Reorder the terms: 2 + 1d = -35 + 15d + 4d Combine like terms: 15d + 4d = 19d 2 + 1d = -35 + 19d Solving 2 + 1d = -35 + 19d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-19d' to each side of the equation. 2 + 1d + -19d = -35 + 19d + -19d Combine like terms: 1d + -19d = -18d 2 + -18d = -35 + 19d + -19d Combine like terms: 19d + -19d = 0 2 + -18d = -35 + 0 2 + -18d = -35 Add '-2' to each side of the equation. 2 + -2 + -18d = -35 + -2 Combine like terms: 2 + -2 = 0 0 + -18d = -35 + -2 -18d = -35 + -2 Combine like terms: -35 + -2 = -37 -18d = -37 Divide each side by '-18'. d = 2.055555556 Simplifying d = 2.055555556
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