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Simplifying 3(7 + -2d) = 2z + -8d (7 * 3 + -2d * 3) = 2z + -8d (21 + -6d) = 2z + -8d Reorder the terms: 21 + -6d = -8d + 2z Solving 21 + -6d = -8d + 2z 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 = -8d + 8d + 2z Combine like terms: -6d + 8d = 2d 21 + 2d = -8d + 8d + 2z Combine like terms: -8d + 8d = 0 21 + 2d = 0 + 2z 21 + 2d = 2z Add '-21' to each side of the equation. 21 + -21 + 2d = -21 + 2z Combine like terms: 21 + -21 = 0 0 + 2d = -21 + 2z 2d = -21 + 2z Divide each side by '2'. d = -10.5 + z Simplifying d = -10.5 + z
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