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Simplifying 3(7 + -2d) = 22 + -8d (7 * 3 + -2d * 3) = 22 + -8d (21 + -6d) = 22 + -8d Solving 21 + -6d = 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. 21 + -6d + 8d = 22 + -8d + 8d Combine like terms: -6d + 8d = 2d 21 + 2d = 22 + -8d + 8d Combine like terms: -8d + 8d = 0 21 + 2d = 22 + 0 21 + 2d = 22 Add '-21' to each side of the equation. 21 + -21 + 2d = 22 + -21 Combine like terms: 21 + -21 = 0 0 + 2d = 22 + -21 2d = 22 + -21 Combine like terms: 22 + -21 = 1 2d = 1 Divide each side by '2'. d = 0.5 Simplifying d = 0.5
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