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Simplifying 6d + -3 = -1d + 46 Reorder the terms: -3 + 6d = -1d + 46 Reorder the terms: -3 + 6d = 46 + -1d Solving -3 + 6d = 46 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. -3 + 6d + d = 46 + -1d + d Combine like terms: 6d + d = 7d -3 + 7d = 46 + -1d + d Combine like terms: -1d + d = 0 -3 + 7d = 46 + 0 -3 + 7d = 46 Add '3' to each side of the equation. -3 + 3 + 7d = 46 + 3 Combine like terms: -3 + 3 = 0 0 + 7d = 46 + 3 7d = 46 + 3 Combine like terms: 46 + 3 = 49 7d = 49 Divide each side by '7'. d = 7 Simplifying d = 7
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