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Simplifying 2(3d + 1) = d + 22 Reorder the terms: 2(1 + 3d) = d + 22 (1 * 2 + 3d * 2) = d + 22 (2 + 6d) = d + 22 Reorder the terms: 2 + 6d = 22 + d Solving 2 + 6d = 22 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 2 + 6d + -1d = 22 + d + -1d Combine like terms: 6d + -1d = 5d 2 + 5d = 22 + d + -1d Combine like terms: d + -1d = 0 2 + 5d = 22 + 0 2 + 5d = 22 Add '-2' to each side of the equation. 2 + -2 + 5d = 22 + -2 Combine like terms: 2 + -2 = 0 0 + 5d = 22 + -2 5d = 22 + -2 Combine like terms: 22 + -2 = 20 5d = 20 Divide each side by '5'. d = 4 Simplifying d = 4
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