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Simplifying 27 = -9(6d + 5) Reorder the terms: 27 = -9(5 + 6d) 27 = (5 * -9 + 6d * -9) 27 = (-45 + -54d) Solving 27 = -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. 27 + 54d = -45 + -54d + 54d Combine like terms: -54d + 54d = 0 27 + 54d = -45 + 0 27 + 54d = -45 Add '-27' to each side of the equation. 27 + -27 + 54d = -45 + -27 Combine like terms: 27 + -27 = 0 0 + 54d = -45 + -27 54d = -45 + -27 Combine like terms: -45 + -27 = -72 54d = -72 Divide each side by '54'. d = -1.333333333 Simplifying d = -1.333333333
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