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Simplifying 5(d + 4) = 7(d + 2) Reorder the terms: 5(4 + d) = 7(d + 2) (4 * 5 + d * 5) = 7(d + 2) (20 + 5d) = 7(d + 2) Reorder the terms: 20 + 5d = 7(2 + d) 20 + 5d = (2 * 7 + d * 7) 20 + 5d = (14 + 7d) Solving 20 + 5d = 14 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 20 + 5d + -7d = 14 + 7d + -7d Combine like terms: 5d + -7d = -2d 20 + -2d = 14 + 7d + -7d Combine like terms: 7d + -7d = 0 20 + -2d = 14 + 0 20 + -2d = 14 Add '-20' to each side of the equation. 20 + -20 + -2d = 14 + -20 Combine like terms: 20 + -20 = 0 0 + -2d = 14 + -20 -2d = 14 + -20 Combine like terms: 14 + -20 = -6 -2d = -6 Divide each side by '-2'. d = 3 Simplifying d = 3
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