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Simplifying 3(d + -1) = 2d + 46 Reorder the terms: 3(-1 + d) = 2d + 46 (-1 * 3 + d * 3) = 2d + 46 (-3 + 3d) = 2d + 46 Reorder the terms: -3 + 3d = 46 + 2d Solving -3 + 3d = 46 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -3 + 3d + -2d = 46 + 2d + -2d Combine like terms: 3d + -2d = 1d -3 + 1d = 46 + 2d + -2d Combine like terms: 2d + -2d = 0 -3 + 1d = 46 + 0 -3 + 1d = 46 Add '3' to each side of the equation. -3 + 3 + 1d = 46 + 3 Combine like terms: -3 + 3 = 0 0 + 1d = 46 + 3 1d = 46 + 3 Combine like terms: 46 + 3 = 49 1d = 49 Divide each side by '1'. d = 49 Simplifying d = 49
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