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Simplifying 5(d + 5) = -7(d + 3) Reorder the terms: 5(5 + d) = -7(d + 3) (5 * 5 + d * 5) = -7(d + 3) (25 + 5d) = -7(d + 3) Reorder the terms: 25 + 5d = -7(3 + d) 25 + 5d = (3 * -7 + d * -7) 25 + 5d = (-21 + -7d) Solving 25 + 5d = -21 + -7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '7d' to each side of the equation. 25 + 5d + 7d = -21 + -7d + 7d Combine like terms: 5d + 7d = 12d 25 + 12d = -21 + -7d + 7d Combine like terms: -7d + 7d = 0 25 + 12d = -21 + 0 25 + 12d = -21 Add '-25' to each side of the equation. 25 + -25 + 12d = -21 + -25 Combine like terms: 25 + -25 = 0 0 + 12d = -21 + -25 12d = -21 + -25 Combine like terms: -21 + -25 = -46 12d = -46 Divide each side by '12'. d = -3.833333333 Simplifying d = -3.833333333
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