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Simplifying 5d + 1 = 8d + 22 Reorder the terms: 1 + 5d = 8d + 22 Reorder the terms: 1 + 5d = 22 + 8d Solving 1 + 5d = 22 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 1 + 5d + -8d = 22 + 8d + -8d Combine like terms: 5d + -8d = -3d 1 + -3d = 22 + 8d + -8d Combine like terms: 8d + -8d = 0 1 + -3d = 22 + 0 1 + -3d = 22 Add '-1' to each side of the equation. 1 + -1 + -3d = 22 + -1 Combine like terms: 1 + -1 = 0 0 + -3d = 22 + -1 -3d = 22 + -1 Combine like terms: 22 + -1 = 21 -3d = 21 Divide each side by '-3'. d = -7 Simplifying d = -7
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