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Simplifying 46 + -2d = 10 + -8d Solving 46 + -2d = 10 + -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. 46 + -2d + 8d = 10 + -8d + 8d Combine like terms: -2d + 8d = 6d 46 + 6d = 10 + -8d + 8d Combine like terms: -8d + 8d = 0 46 + 6d = 10 + 0 46 + 6d = 10 Add '-46' to each side of the equation. 46 + -46 + 6d = 10 + -46 Combine like terms: 46 + -46 = 0 0 + 6d = 10 + -46 6d = 10 + -46 Combine like terms: 10 + -46 = -36 6d = -36 Divide each side by '6'. d = -6 Simplifying d = -6
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