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Simplifying 5d + 7 = 12d + -21 Reorder the terms: 7 + 5d = 12d + -21 Reorder the terms: 7 + 5d = -21 + 12d Solving 7 + 5d = -21 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. 7 + 5d + -12d = -21 + 12d + -12d Combine like terms: 5d + -12d = -7d 7 + -7d = -21 + 12d + -12d Combine like terms: 12d + -12d = 0 7 + -7d = -21 + 0 7 + -7d = -21 Add '-7' to each side of the equation. 7 + -7 + -7d = -21 + -7 Combine like terms: 7 + -7 = 0 0 + -7d = -21 + -7 -7d = -21 + -7 Combine like terms: -21 + -7 = -28 -7d = -28 Divide each side by '-7'. d = 4 Simplifying d = 4
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