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Simplifying -5d + 9 = -12 + 2d Reorder the terms: 9 + -5d = -12 + 2d Solving 9 + -5d = -12 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 9 + -5d + -2d = -12 + 2d + -2d Combine like terms: -5d + -2d = -7d 9 + -7d = -12 + 2d + -2d Combine like terms: 2d + -2d = 0 9 + -7d = -12 + 0 9 + -7d = -12 Add '-9' to each side of the equation. 9 + -9 + -7d = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -7d = -12 + -9 -7d = -12 + -9 Combine like terms: -12 + -9 = -21 -7d = -21 Divide each side by '-7'. d = 3 Simplifying d = 3
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