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Simplifying 7(d + 3) + -5d = d + -8 Reorder the terms: 7(3 + d) + -5d = d + -8 (3 * 7 + d * 7) + -5d = d + -8 (21 + 7d) + -5d = d + -8 Combine like terms: 7d + -5d = 2d 21 + 2d = d + -8 Reorder the terms: 21 + 2d = -8 + d Solving 21 + 2d = -8 + 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. 21 + 2d + -1d = -8 + d + -1d Combine like terms: 2d + -1d = 1d 21 + 1d = -8 + d + -1d Combine like terms: d + -1d = 0 21 + 1d = -8 + 0 21 + 1d = -8 Add '-21' to each side of the equation. 21 + -21 + 1d = -8 + -21 Combine like terms: 21 + -21 = 0 0 + 1d = -8 + -21 1d = -8 + -21 Combine like terms: -8 + -21 = -29 1d = -29 Divide each side by '1'. d = -29 Simplifying d = -29
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