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Simplifying -1(d + 2) + 10 = 32 Reorder the terms: -1(2 + d) + 10 = 32 (2 * -1 + d * -1) + 10 = 32 (-2 + -1d) + 10 = 32 Reorder the terms: -2 + 10 + -1d = 32 Combine like terms: -2 + 10 = 8 8 + -1d = 32 Solving 8 + -1d = 32 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1d = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -1d = 32 + -8 -1d = 32 + -8 Combine like terms: 32 + -8 = 24 -1d = 24 Divide each side by '-1'. d = -24 Simplifying d = -24
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