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Simplifying 2d + -5 = 7d + 5 Reorder the terms: -5 + 2d = 7d + 5 Reorder the terms: -5 + 2d = 5 + 7d Solving -5 + 2d = 5 + 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. -5 + 2d + -7d = 5 + 7d + -7d Combine like terms: 2d + -7d = -5d -5 + -5d = 5 + 7d + -7d Combine like terms: 7d + -7d = 0 -5 + -5d = 5 + 0 -5 + -5d = 5 Add '5' to each side of the equation. -5 + 5 + -5d = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -5d = 5 + 5 -5d = 5 + 5 Combine like terms: 5 + 5 = 10 -5d = 10 Divide each side by '-5'. d = -2 Simplifying d = -2
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