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Simplifying -32 = 9(6d + 5) Reorder the terms: -32 = 9(5 + 6d) -32 = (5 * 9 + 6d * 9) -32 = (45 + 54d) Solving -32 = 45 + 54d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-54d' to each side of the equation. -32 + -54d = 45 + 54d + -54d Combine like terms: 54d + -54d = 0 -32 + -54d = 45 + 0 -32 + -54d = 45 Add '32' to each side of the equation. -32 + 32 + -54d = 45 + 32 Combine like terms: -32 + 32 = 0 0 + -54d = 45 + 32 -54d = 45 + 32 Combine like terms: 45 + 32 = 77 -54d = 77 Divide each side by '-54'. d = -1.425925926 Simplifying d = -1.425925926
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