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Simplifying 7d + 6 = 3(10 + 2d) Reorder the terms: 6 + 7d = 3(10 + 2d) 6 + 7d = (10 * 3 + 2d * 3) 6 + 7d = (30 + 6d) Solving 6 + 7d = 30 + 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. 6 + 7d + -6d = 30 + 6d + -6d Combine like terms: 7d + -6d = 1d 6 + 1d = 30 + 6d + -6d Combine like terms: 6d + -6d = 0 6 + 1d = 30 + 0 6 + 1d = 30 Add '-6' to each side of the equation. 6 + -6 + 1d = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 1d = 30 + -6 1d = 30 + -6 Combine like terms: 30 + -6 = 24 1d = 24 Divide each side by '1'. d = 24 Simplifying d = 24
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