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Simplifying -3(d + 7) = 5d Reorder the terms: -3(7 + d) = 5d (7 * -3 + d * -3) = 5d (-21 + -3d) = 5d Solving -21 + -3d = 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. -21 + -3d + -5d = 5d + -5d Combine like terms: -3d + -5d = -8d -21 + -8d = 5d + -5d Combine like terms: 5d + -5d = 0 -21 + -8d = 0 Add '21' to each side of the equation. -21 + 21 + -8d = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -8d = 0 + 21 -8d = 0 + 21 Combine like terms: 0 + 21 = 21 -8d = 21 Divide each side by '-8'. d = -2.625 Simplifying d = -2.625
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