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Simplifying 45 = 5d + -21 + 2d Reorder the terms: 45 = -21 + 5d + 2d Combine like terms: 5d + 2d = 7d 45 = -21 + 7d Solving 45 = -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. 45 + -7d = -21 + 7d + -7d Combine like terms: 7d + -7d = 0 45 + -7d = -21 + 0 45 + -7d = -21 Add '-45' to each side of the equation. 45 + -45 + -7d = -21 + -45 Combine like terms: 45 + -45 = 0 0 + -7d = -21 + -45 -7d = -21 + -45 Combine like terms: -21 + -45 = -66 -7d = -66 Divide each side by '-7'. d = 9.428571429 Simplifying d = 9.428571429
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