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Simplifying 8d + 13 = 21d Reorder the terms: 13 + 8d = 21d Solving 13 + 8d = 21d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-21d' to each side of the equation. 13 + 8d + -21d = 21d + -21d Combine like terms: 8d + -21d = -13d 13 + -13d = 21d + -21d Combine like terms: 21d + -21d = 0 13 + -13d = 0 Add '-13' to each side of the equation. 13 + -13 + -13d = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -13d = 0 + -13 -13d = 0 + -13 Combine like terms: 0 + -13 = -13 -13d = -13 Divide each side by '-13'. d = 1 Simplifying d = 1
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