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Simplifying 5(d + 5) + 2d = -13 + -8d Reorder the terms: 5(5 + d) + 2d = -13 + -8d (5 * 5 + d * 5) + 2d = -13 + -8d (25 + 5d) + 2d = -13 + -8d Combine like terms: 5d + 2d = 7d 25 + 7d = -13 + -8d Solving 25 + 7d = -13 + -8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8d' to each side of the equation. 25 + 7d + 8d = -13 + -8d + 8d Combine like terms: 7d + 8d = 15d 25 + 15d = -13 + -8d + 8d Combine like terms: -8d + 8d = 0 25 + 15d = -13 + 0 25 + 15d = -13 Add '-25' to each side of the equation. 25 + -25 + 15d = -13 + -25 Combine like terms: 25 + -25 = 0 0 + 15d = -13 + -25 15d = -13 + -25 Combine like terms: -13 + -25 = -38 15d = -38 Divide each side by '15'. d = -2.533333333 Simplifying d = -2.533333333
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