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Simplifying 2d + 6d + -4d + 22 = 6d Reorder the terms: 22 + 2d + 6d + -4d = 6d Combine like terms: 2d + 6d = 8d 22 + 8d + -4d = 6d Combine like terms: 8d + -4d = 4d 22 + 4d = 6d Solving 22 + 4d = 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 22 + 4d + -6d = 6d + -6d Combine like terms: 4d + -6d = -2d 22 + -2d = 6d + -6d Combine like terms: 6d + -6d = 0 22 + -2d = 0 Add '-22' to each side of the equation. 22 + -22 + -2d = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -2d = 0 + -22 -2d = 0 + -22 Combine like terms: 0 + -22 = -22 -2d = -22 Divide each side by '-2'. d = 11 Simplifying d = 11
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