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Simplifying 35 = 7(d + -82) Reorder the terms: 35 = 7(-82 + d) 35 = (-82 * 7 + d * 7) 35 = (-574 + 7d) Solving 35 = -574 + 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. 35 + -7d = -574 + 7d + -7d Combine like terms: 7d + -7d = 0 35 + -7d = -574 + 0 35 + -7d = -574 Add '-35' to each side of the equation. 35 + -35 + -7d = -574 + -35 Combine like terms: 35 + -35 = 0 0 + -7d = -574 + -35 -7d = -574 + -35 Combine like terms: -574 + -35 = -609 -7d = -609 Divide each side by '-7'. d = 87 Simplifying d = 87
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