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Simplifying 8d + -1(2 + d) = 42 8d + (2 * -1 + d * -1) = 42 8d + (-2 + -1d) = 42 Reorder the terms: -2 + 8d + -1d = 42 Combine like terms: 8d + -1d = 7d -2 + 7d = 42 Solving -2 + 7d = 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 + 7d = 42 + 2 Combine like terms: -2 + 2 = 0 0 + 7d = 42 + 2 7d = 42 + 2 Combine like terms: 42 + 2 = 44 7d = 44 Divide each side by '7'. d = 6.285714286 Simplifying d = 6.285714286
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