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Simplifying 6(6d + -5) = 42 Reorder the terms: 6(-5 + 6d) = 42 (-5 * 6 + 6d * 6) = 42 (-30 + 36d) = 42 Solving -30 + 36d = 42 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 36d = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 36d = 42 + 30 36d = 42 + 30 Combine like terms: 42 + 30 = 72 36d = 72 Divide each side by '36'. d = 2 Simplifying d = 2
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