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Simplifying 6(7d + -9) = 30 Reorder the terms: 6(-9 + 7d) = 30 (-9 * 6 + 7d * 6) = 30 (-54 + 42d) = 30 Solving -54 + 42d = 30 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 42d = 30 + 54 Combine like terms: -54 + 54 = 0 0 + 42d = 30 + 54 42d = 30 + 54 Combine like terms: 30 + 54 = 84 42d = 84 Divide each side by '42'. d = 2 Simplifying d = 2
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