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Simplifying 12 + -1(D + 2) + 10 = 32 Reorder the terms: 12 + -1(2 + D) + 10 = 32 12 + (2 * -1 + D * -1) + 10 = 32 12 + (-2 + -1D) + 10 = 32 Reorder the terms: 12 + -2 + 10 + -1D = 32 Combine like terms: 12 + -2 = 10 10 + 10 + -1D = 32 Combine like terms: 10 + 10 = 20 20 + -1D = 32 Solving 20 + -1D = 32 Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1D = 32 + -20 Combine like terms: 20 + -20 = 0 0 + -1D = 32 + -20 -1D = 32 + -20 Combine like terms: 32 + -20 = 12 -1D = 12 Divide each side by '-1'. D = -12 Simplifying D = -12
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