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Simplifying -4(7 + -5d) = -32 + 8d (7 * -4 + -5d * -4) = -32 + 8d (-28 + 20d) = -32 + 8d Solving -28 + 20d = -32 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -28 + 20d + -8d = -32 + 8d + -8d Combine like terms: 20d + -8d = 12d -28 + 12d = -32 + 8d + -8d Combine like terms: 8d + -8d = 0 -28 + 12d = -32 + 0 -28 + 12d = -32 Add '28' to each side of the equation. -28 + 28 + 12d = -32 + 28 Combine like terms: -28 + 28 = 0 0 + 12d = -32 + 28 12d = -32 + 28 Combine like terms: -32 + 28 = -4 12d = -4 Divide each side by '12'. d = -0.3333333333 Simplifying d = -0.3333333333
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