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Simplifying 33 + 2d = 6(8d + -7) Reorder the terms: 33 + 2d = 6(-7 + 8d) 33 + 2d = (-7 * 6 + 8d * 6) 33 + 2d = (-42 + 48d) Solving 33 + 2d = -42 + 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. 33 + 2d + -48d = -42 + 48d + -48d Combine like terms: 2d + -48d = -46d 33 + -46d = -42 + 48d + -48d Combine like terms: 48d + -48d = 0 33 + -46d = -42 + 0 33 + -46d = -42 Add '-33' to each side of the equation. 33 + -33 + -46d = -42 + -33 Combine like terms: 33 + -33 = 0 0 + -46d = -42 + -33 -46d = -42 + -33 Combine like terms: -42 + -33 = -75 -46d = -75 Divide each side by '-46'. d = 1.630434783 Simplifying d = 1.630434783
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