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Simplifying 4d + 13 = 2d + 21 Reorder the terms: 13 + 4d = 2d + 21 Reorder the terms: 13 + 4d = 21 + 2d Solving 13 + 4d = 21 + 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. 13 + 4d + -2d = 21 + 2d + -2d Combine like terms: 4d + -2d = 2d 13 + 2d = 21 + 2d + -2d Combine like terms: 2d + -2d = 0 13 + 2d = 21 + 0 13 + 2d = 21 Add '-13' to each side of the equation. 13 + -13 + 2d = 21 + -13 Combine like terms: 13 + -13 = 0 0 + 2d = 21 + -13 2d = 21 + -13 Combine like terms: 21 + -13 = 8 2d = 8 Divide each side by '2'. d = 4 Simplifying d = 4
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