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Simplifying -8(d + -12) = -32 Reorder the terms: -8(-12 + d) = -32 (-12 * -8 + d * -8) = -32 (96 + -8d) = -32 Solving 96 + -8d = -32 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + -8d = -32 + -96 Combine like terms: 96 + -96 = 0 0 + -8d = -32 + -96 -8d = -32 + -96 Combine like terms: -32 + -96 = -128 -8d = -128 Divide each side by '-8'. d = 16 Simplifying d = 16
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