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Simplifying d + 6 = 5d + 22 Reorder the terms: 6 + d = 5d + 22 Reorder the terms: 6 + d = 22 + 5d Solving 6 + d = 22 + 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. 6 + d + -5d = 22 + 5d + -5d Combine like terms: d + -5d = -4d 6 + -4d = 22 + 5d + -5d Combine like terms: 5d + -5d = 0 6 + -4d = 22 + 0 6 + -4d = 22 Add '-6' to each side of the equation. 6 + -6 + -4d = 22 + -6 Combine like terms: 6 + -6 = 0 0 + -4d = 22 + -6 -4d = 22 + -6 Combine like terms: 22 + -6 = 16 -4d = 16 Divide each side by '-4'. d = -4 Simplifying d = -4
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