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Simplifying 5d + -7 = 2d + -1 Reorder the terms: -7 + 5d = 2d + -1 Reorder the terms: -7 + 5d = -1 + 2d Solving -7 + 5d = -1 + 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. -7 + 5d + -2d = -1 + 2d + -2d Combine like terms: 5d + -2d = 3d -7 + 3d = -1 + 2d + -2d Combine like terms: 2d + -2d = 0 -7 + 3d = -1 + 0 -7 + 3d = -1 Add '7' to each side of the equation. -7 + 7 + 3d = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 3d = -1 + 7 3d = -1 + 7 Combine like terms: -1 + 7 = 6 3d = 6 Divide each side by '3'. d = 2 Simplifying d = 2
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