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Simplifying 3(2d + -5) = -27 Reorder the terms: 3(-5 + 2d) = -27 (-5 * 3 + 2d * 3) = -27 (-15 + 6d) = -27 Solving -15 + 6d = -27 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 6d = -27 + 15 Combine like terms: -15 + 15 = 0 0 + 6d = -27 + 15 6d = -27 + 15 Combine like terms: -27 + 15 = -12 6d = -12 Divide each side by '6'. d = -2 Simplifying d = -2
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