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Simplifying 2(4d + -1) = 30 Reorder the terms: 2(-1 + 4d) = 30 (-1 * 2 + 4d * 2) = 30 (-2 + 8d) = 30 Solving -2 + 8d = 30 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 8d = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 8d = 30 + 2 8d = 30 + 2 Combine like terms: 30 + 2 = 32 8d = 32 Divide each side by '8'. d = 4 Simplifying d = 4
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