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Simplifying 4d + -9 = 7d + 12 Reorder the terms: -9 + 4d = 7d + 12 Reorder the terms: -9 + 4d = 12 + 7d Solving -9 + 4d = 12 + 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. -9 + 4d + -7d = 12 + 7d + -7d Combine like terms: 4d + -7d = -3d -9 + -3d = 12 + 7d + -7d Combine like terms: 7d + -7d = 0 -9 + -3d = 12 + 0 -9 + -3d = 12 Add '9' to each side of the equation. -9 + 9 + -3d = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -3d = 12 + 9 -3d = 12 + 9 Combine like terms: 12 + 9 = 21 -3d = 21 Divide each side by '-3'. d = -7 Simplifying d = -7
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