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Simplifying 7d + 30 = 6d + 16 Reorder the terms: 30 + 7d = 6d + 16 Reorder the terms: 30 + 7d = 16 + 6d Solving 30 + 7d = 16 + 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. 30 + 7d + -6d = 16 + 6d + -6d Combine like terms: 7d + -6d = 1d 30 + 1d = 16 + 6d + -6d Combine like terms: 6d + -6d = 0 30 + 1d = 16 + 0 30 + 1d = 16 Add '-30' to each side of the equation. 30 + -30 + 1d = 16 + -30 Combine like terms: 30 + -30 = 0 0 + 1d = 16 + -30 1d = 16 + -30 Combine like terms: 16 + -30 = -14 1d = -14 Divide each side by '1'. d = -14 Simplifying d = -14
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