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Simplifying 4d + -5 = 2d + 7 Reorder the terms: -5 + 4d = 2d + 7 Reorder the terms: -5 + 4d = 7 + 2d Solving -5 + 4d = 7 + 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. -5 + 4d + -2d = 7 + 2d + -2d Combine like terms: 4d + -2d = 2d -5 + 2d = 7 + 2d + -2d Combine like terms: 2d + -2d = 0 -5 + 2d = 7 + 0 -5 + 2d = 7 Add '5' to each side of the equation. -5 + 5 + 2d = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2d = 7 + 5 2d = 7 + 5 Combine like terms: 7 + 5 = 12 2d = 12 Divide each side by '2'. d = 6 Simplifying d = 6
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