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Simplifying 21 = 8(5d + 7) Reorder the terms: 21 = 8(7 + 5d) 21 = (7 * 8 + 5d * 8) 21 = (56 + 40d) Solving 21 = 56 + 40d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-40d' to each side of the equation. 21 + -40d = 56 + 40d + -40d Combine like terms: 40d + -40d = 0 21 + -40d = 56 + 0 21 + -40d = 56 Add '-21' to each side of the equation. 21 + -21 + -40d = 56 + -21 Combine like terms: 21 + -21 = 0 0 + -40d = 56 + -21 -40d = 56 + -21 Combine like terms: 56 + -21 = 35 -40d = 35 Divide each side by '-40'. d = -0.875 Simplifying d = -0.875
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