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Simplifying 2(3d + -1) = d + 58 Reorder the terms: 2(-1 + 3d) = d + 58 (-1 * 2 + 3d * 2) = d + 58 (-2 + 6d) = d + 58 Reorder the terms: -2 + 6d = 58 + d Solving -2 + 6d = 58 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -2 + 6d + -1d = 58 + d + -1d Combine like terms: 6d + -1d = 5d -2 + 5d = 58 + d + -1d Combine like terms: d + -1d = 0 -2 + 5d = 58 + 0 -2 + 5d = 58 Add '2' to each side of the equation. -2 + 2 + 5d = 58 + 2 Combine like terms: -2 + 2 = 0 0 + 5d = 58 + 2 5d = 58 + 2 Combine like terms: 58 + 2 = 60 5d = 60 Divide each side by '5'. d = 12 Simplifying d = 12
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