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Simplifying -8(1 + 3d) = 27 (1 * -8 + 3d * -8) = 27 (-8 + -24d) = 27 Solving -8 + -24d = 27 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -24d = 27 + 8 Combine like terms: -8 + 8 = 0 0 + -24d = 27 + 8 -24d = 27 + 8 Combine like terms: 27 + 8 = 35 -24d = 35 Divide each side by '-24'. d = -1.458333333 Simplifying d = -1.458333333
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