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Simplifying 7(d + 2) = 3d + 22 Reorder the terms: 7(2 + d) = 3d + 22 (2 * 7 + d * 7) = 3d + 22 (14 + 7d) = 3d + 22 Reorder the terms: 14 + 7d = 22 + 3d Solving 14 + 7d = 22 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 14 + 7d + -3d = 22 + 3d + -3d Combine like terms: 7d + -3d = 4d 14 + 4d = 22 + 3d + -3d Combine like terms: 3d + -3d = 0 14 + 4d = 22 + 0 14 + 4d = 22 Add '-14' to each side of the equation. 14 + -14 + 4d = 22 + -14 Combine like terms: 14 + -14 = 0 0 + 4d = 22 + -14 4d = 22 + -14 Combine like terms: 22 + -14 = 8 4d = 8 Divide each side by '4'. d = 2 Simplifying d = 2
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