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Simplifying 7d + -13 = 3d + 15 Reorder the terms: -13 + 7d = 3d + 15 Reorder the terms: -13 + 7d = 15 + 3d Solving -13 + 7d = 15 + 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. -13 + 7d + -3d = 15 + 3d + -3d Combine like terms: 7d + -3d = 4d -13 + 4d = 15 + 3d + -3d Combine like terms: 3d + -3d = 0 -13 + 4d = 15 + 0 -13 + 4d = 15 Add '13' to each side of the equation. -13 + 13 + 4d = 15 + 13 Combine like terms: -13 + 13 = 0 0 + 4d = 15 + 13 4d = 15 + 13 Combine like terms: 15 + 13 = 28 4d = 28 Divide each side by '4'. d = 7 Simplifying d = 7
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