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Simplifying 22 = -2 + 8(d + 6) Reorder the terms: 22 = -2 + 8(6 + d) 22 = -2 + (6 * 8 + d * 8) 22 = -2 + (48 + 8d) Combine like terms: -2 + 48 = 46 22 = 46 + 8d Solving 22 = 46 + 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. 22 + -8d = 46 + 8d + -8d Combine like terms: 8d + -8d = 0 22 + -8d = 46 + 0 22 + -8d = 46 Add '-22' to each side of the equation. 22 + -22 + -8d = 46 + -22 Combine like terms: 22 + -22 = 0 0 + -8d = 46 + -22 -8d = 46 + -22 Combine like terms: 46 + -22 = 24 -8d = 24 Divide each side by '-8'. d = -3 Simplifying d = -3
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