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Simplifying 12 + 3d + -35 = 5 + -4d Reorder the terms: 12 + -35 + 3d = 5 + -4d Combine like terms: 12 + -35 = -23 -23 + 3d = 5 + -4d Solving -23 + 3d = 5 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. -23 + 3d + 4d = 5 + -4d + 4d Combine like terms: 3d + 4d = 7d -23 + 7d = 5 + -4d + 4d Combine like terms: -4d + 4d = 0 -23 + 7d = 5 + 0 -23 + 7d = 5 Add '23' to each side of the equation. -23 + 23 + 7d = 5 + 23 Combine like terms: -23 + 23 = 0 0 + 7d = 5 + 23 7d = 5 + 23 Combine like terms: 5 + 23 = 28 7d = 28 Divide each side by '7'. d = 4 Simplifying d = 4
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