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Simplifying 7(d + 5) = (d + -3) Reorder the terms: 7(5 + d) = (d + -3) (5 * 7 + d * 7) = (d + -3) (35 + 7d) = (d + -3) Reorder the terms: 35 + 7d = (-3 + d) Remove parenthesis around (-3 + d) 35 + 7d = -3 + d Solving 35 + 7d = -3 + 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. 35 + 7d + -1d = -3 + d + -1d Combine like terms: 7d + -1d = 6d 35 + 6d = -3 + d + -1d Combine like terms: d + -1d = 0 35 + 6d = -3 + 0 35 + 6d = -3 Add '-35' to each side of the equation. 35 + -35 + 6d = -3 + -35 Combine like terms: 35 + -35 = 0 0 + 6d = -3 + -35 6d = -3 + -35 Combine like terms: -3 + -35 = -38 6d = -38 Divide each side by '6'. d = -6.333333333 Simplifying d = -6.333333333
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