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Simplifying 2(d + -1) = 12 + -5d Reorder the terms: 2(-1 + d) = 12 + -5d (-1 * 2 + d * 2) = 12 + -5d (-2 + 2d) = 12 + -5d Solving -2 + 2d = 12 + -5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5d' to each side of the equation. -2 + 2d + 5d = 12 + -5d + 5d Combine like terms: 2d + 5d = 7d -2 + 7d = 12 + -5d + 5d Combine like terms: -5d + 5d = 0 -2 + 7d = 12 + 0 -2 + 7d = 12 Add '2' to each side of the equation. -2 + 2 + 7d = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 7d = 12 + 2 7d = 12 + 2 Combine like terms: 12 + 2 = 14 7d = 14 Divide each side by '7'. d = 2 Simplifying d = 2
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