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Simplifying 6d + -3(4d + 5) = 9 Reorder the terms: 6d + -3(5 + 4d) = 9 6d + (5 * -3 + 4d * -3) = 9 6d + (-15 + -12d) = 9 Reorder the terms: -15 + 6d + -12d = 9 Combine like terms: 6d + -12d = -6d -15 + -6d = 9 Solving -15 + -6d = 9 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 = 9 + 15 Combine like terms: -15 + 15 = 0 0 + -6d = 9 + 15 -6d = 9 + 15 Combine like terms: 9 + 15 = 24 -6d = 24 Divide each side by '-6'. d = -4 Simplifying d = -4
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