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Simplifying 2(2d + -8) = 96 + (d + 3) Reorder the terms: 2(-8 + 2d) = 96 + (d + 3) (-8 * 2 + 2d * 2) = 96 + (d + 3) (-16 + 4d) = 96 + (d + 3) Reorder the terms: -16 + 4d = 96 + (3 + d) Remove parenthesis around (3 + d) -16 + 4d = 96 + 3 + d Combine like terms: 96 + 3 = 99 -16 + 4d = 99 + d Solving -16 + 4d = 99 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -16 + 4d + -1d = 99 + d + -1d Combine like terms: 4d + -1d = 3d -16 + 3d = 99 + d + -1d Combine like terms: d + -1d = 0 -16 + 3d = 99 + 0 -16 + 3d = 99 Add '16' to each side of the equation. -16 + 16 + 3d = 99 + 16 Combine like terms: -16 + 16 = 0 0 + 3d = 99 + 16 3d = 99 + 16 Combine like terms: 99 + 16 = 115 3d = 115 Divide each side by '3'. d = 38.33333333 Simplifying d = 38.33333333
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