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Simplifying 5(d + 5) = 2(2d + 18) Reorder the terms: 5(5 + d) = 2(2d + 18) (5 * 5 + d * 5) = 2(2d + 18) (25 + 5d) = 2(2d + 18) Reorder the terms: 25 + 5d = 2(18 + 2d) 25 + 5d = (18 * 2 + 2d * 2) 25 + 5d = (36 + 4d) Solving 25 + 5d = 36 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 25 + 5d + -4d = 36 + 4d + -4d Combine like terms: 5d + -4d = 1d 25 + 1d = 36 + 4d + -4d Combine like terms: 4d + -4d = 0 25 + 1d = 36 + 0 25 + 1d = 36 Add '-25' to each side of the equation. 25 + -25 + 1d = 36 + -25 Combine like terms: 25 + -25 = 0 0 + 1d = 36 + -25 1d = 36 + -25 Combine like terms: 36 + -25 = 11 1d = 11 Divide each side by '1'. d = 11 Simplifying d = 11
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