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Simplifying -32 = -3 + 9(d + -8) Reorder the terms: -32 = -3 + 9(-8 + d) -32 = -3 + (-8 * 9 + d * 9) -32 = -3 + (-72 + 9d) Combine like terms: -3 + -72 = -75 -32 = -75 + 9d Solving -32 = -75 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. -32 + -9d = -75 + 9d + -9d Combine like terms: 9d + -9d = 0 -32 + -9d = -75 + 0 -32 + -9d = -75 Add '32' to each side of the equation. -32 + 32 + -9d = -75 + 32 Combine like terms: -32 + 32 = 0 0 + -9d = -75 + 32 -9d = -75 + 32 Combine like terms: -75 + 32 = -43 -9d = -43 Divide each side by '-9'. d = 4.777777778 Simplifying d = 4.777777778
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