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Simplifying 7d + 10 = 6d + -46 Reorder the terms: 10 + 7d = 6d + -46 Reorder the terms: 10 + 7d = -46 + 6d Solving 10 + 7d = -46 + 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. 10 + 7d + -6d = -46 + 6d + -6d Combine like terms: 7d + -6d = 1d 10 + 1d = -46 + 6d + -6d Combine like terms: 6d + -6d = 0 10 + 1d = -46 + 0 10 + 1d = -46 Add '-10' to each side of the equation. 10 + -10 + 1d = -46 + -10 Combine like terms: 10 + -10 = 0 0 + 1d = -46 + -10 1d = -46 + -10 Combine like terms: -46 + -10 = -56 1d = -56 Divide each side by '1'. d = -56 Simplifying d = -56
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