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Simplifying 8d + -12 = d + 2 Reorder the terms: -12 + 8d = d + 2 Reorder the terms: -12 + 8d = 2 + d Solving -12 + 8d = 2 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -12 + 8d + -1d = 2 + d + -1d Combine like terms: 8d + -1d = 7d -12 + 7d = 2 + d + -1d Combine like terms: d + -1d = 0 -12 + 7d = 2 + 0 -12 + 7d = 2 Add '12' to each side of the equation. -12 + 12 + 7d = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 7d = 2 + 12 7d = 2 + 12 Combine like terms: 2 + 12 = 14 7d = 14 Divide each side by '7'. d = 2 Simplifying d = 2
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