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Simplifying -3(d + -8) = (3d + 7) Reorder the terms: -3(-8 + d) = (3d + 7) (-8 * -3 + d * -3) = (3d + 7) (24 + -3d) = (3d + 7) Reorder the terms: 24 + -3d = (7 + 3d) Remove parenthesis around (7 + 3d) 24 + -3d = 7 + 3d Solving 24 + -3d = 7 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 24 + -3d + -3d = 7 + 3d + -3d Combine like terms: -3d + -3d = -6d 24 + -6d = 7 + 3d + -3d Combine like terms: 3d + -3d = 0 24 + -6d = 7 + 0 24 + -6d = 7 Add '-24' to each side of the equation. 24 + -24 + -6d = 7 + -24 Combine like terms: 24 + -24 = 0 0 + -6d = 7 + -24 -6d = 7 + -24 Combine like terms: 7 + -24 = -17 -6d = -17 Divide each side by '-6'. d = 2.833333333 Simplifying d = 2.833333333
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