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Simplifying 5(2d + 8) = 7(2d + 8) Reorder the terms: 5(8 + 2d) = 7(2d + 8) (8 * 5 + 2d * 5) = 7(2d + 8) (40 + 10d) = 7(2d + 8) Reorder the terms: 40 + 10d = 7(8 + 2d) 40 + 10d = (8 * 7 + 2d * 7) 40 + 10d = (56 + 14d) Solving 40 + 10d = 56 + 14d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-14d' to each side of the equation. 40 + 10d + -14d = 56 + 14d + -14d Combine like terms: 10d + -14d = -4d 40 + -4d = 56 + 14d + -14d Combine like terms: 14d + -14d = 0 40 + -4d = 56 + 0 40 + -4d = 56 Add '-40' to each side of the equation. 40 + -40 + -4d = 56 + -40 Combine like terms: 40 + -40 = 0 0 + -4d = 56 + -40 -4d = 56 + -40 Combine like terms: 56 + -40 = 16 -4d = 16 Divide each side by '-4'. d = -4 Simplifying d = -4
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