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Simplifying 8d + -1(2 + -3d) = 42 8d + (2 * -1 + -3d * -1) = 42 8d + (-2 + 3d) = 42 Reorder the terms: -2 + 8d + 3d = 42 Combine like terms: 8d + 3d = 11d -2 + 11d = 42 Solving -2 + 11d = 42 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 + 11d = 42 + 2 Combine like terms: -2 + 2 = 0 0 + 11d = 42 + 2 11d = 42 + 2 Combine like terms: 42 + 2 = 44 11d = 44 Divide each side by '11'. d = 4 Simplifying d = 4
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