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Simplifying 2(2d + 7) = 5(d + 7) Reorder the terms: 2(7 + 2d) = 5(d + 7) (7 * 2 + 2d * 2) = 5(d + 7) (14 + 4d) = 5(d + 7) Reorder the terms: 14 + 4d = 5(7 + d) 14 + 4d = (7 * 5 + d * 5) 14 + 4d = (35 + 5d) Solving 14 + 4d = 35 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 14 + 4d + -5d = 35 + 5d + -5d Combine like terms: 4d + -5d = -1d 14 + -1d = 35 + 5d + -5d Combine like terms: 5d + -5d = 0 14 + -1d = 35 + 0 14 + -1d = 35 Add '-14' to each side of the equation. 14 + -14 + -1d = 35 + -14 Combine like terms: 14 + -14 = 0 0 + -1d = 35 + -14 -1d = 35 + -14 Combine like terms: 35 + -14 = 21 -1d = 21 Divide each side by '-1'. d = -21 Simplifying d = -21
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