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Simplifying 2(d + -1) = 12(4d + 3) + 1 Reorder the terms: 2(-1 + d) = 12(4d + 3) + 1 (-1 * 2 + d * 2) = 12(4d + 3) + 1 (-2 + 2d) = 12(4d + 3) + 1 Reorder the terms: -2 + 2d = 12(3 + 4d) + 1 -2 + 2d = (3 * 12 + 4d * 12) + 1 -2 + 2d = (36 + 48d) + 1 Reorder the terms: -2 + 2d = 36 + 1 + 48d Combine like terms: 36 + 1 = 37 -2 + 2d = 37 + 48d Solving -2 + 2d = 37 + 48d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-48d' to each side of the equation. -2 + 2d + -48d = 37 + 48d + -48d Combine like terms: 2d + -48d = -46d -2 + -46d = 37 + 48d + -48d Combine like terms: 48d + -48d = 0 -2 + -46d = 37 + 0 -2 + -46d = 37 Add '2' to each side of the equation. -2 + 2 + -46d = 37 + 2 Combine like terms: -2 + 2 = 0 0 + -46d = 37 + 2 -46d = 37 + 2 Combine like terms: 37 + 2 = 39 -46d = 39 Divide each side by '-46'. d = -0.847826087 Simplifying d = -0.847826087
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