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Simplifying 4d + -12 = -5d + 51 Reorder the terms: -12 + 4d = -5d + 51 Reorder the terms: -12 + 4d = 51 + -5d Solving -12 + 4d = 51 + -5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5d' to each side of the equation. -12 + 4d + 5d = 51 + -5d + 5d Combine like terms: 4d + 5d = 9d -12 + 9d = 51 + -5d + 5d Combine like terms: -5d + 5d = 0 -12 + 9d = 51 + 0 -12 + 9d = 51 Add '12' to each side of the equation. -12 + 12 + 9d = 51 + 12 Combine like terms: -12 + 12 = 0 0 + 9d = 51 + 12 9d = 51 + 12 Combine like terms: 51 + 12 = 63 9d = 63 Divide each side by '9'. d = 7 Simplifying d = 7
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