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Simplifying 5d + -15 = 3d + -7 Reorder the terms: -15 + 5d = 3d + -7 Reorder the terms: -15 + 5d = -7 + 3d Solving -15 + 5d = -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. -15 + 5d + -3d = -7 + 3d + -3d Combine like terms: 5d + -3d = 2d -15 + 2d = -7 + 3d + -3d Combine like terms: 3d + -3d = 0 -15 + 2d = -7 + 0 -15 + 2d = -7 Add '15' to each side of the equation. -15 + 15 + 2d = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 2d = -7 + 15 2d = -7 + 15 Combine like terms: -7 + 15 = 8 2d = 8 Divide each side by '2'. d = 4 Simplifying d = 4
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