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Simplifying 2d + -5 = 3d + -7 Reorder the terms: -5 + 2d = 3d + -7 Reorder the terms: -5 + 2d = -7 + 3d Solving -5 + 2d = -7 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -5 + 2d + -3d = -7 + 3d + -3d Combine like terms: 2d + -3d = -1d -5 + -1d = -7 + 3d + -3d Combine like terms: 3d + -3d = 0 -5 + -1d = -7 + 0 -5 + -1d = -7 Add '5' to each side of the equation. -5 + 5 + -1d = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -1d = -7 + 5 -1d = -7 + 5 Combine like terms: -7 + 5 = -2 -1d = -2 Divide each side by '-1'. d = 2 Simplifying d = 2
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