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Simplifying 33 = 8(3d + -9) Reorder the terms: 33 = 8(-9 + 3d) 33 = (-9 * 8 + 3d * 8) 33 = (-72 + 24d) Solving 33 = -72 + 24d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-24d' to each side of the equation. 33 + -24d = -72 + 24d + -24d Combine like terms: 24d + -24d = 0 33 + -24d = -72 + 0 33 + -24d = -72 Add '-33' to each side of the equation. 33 + -33 + -24d = -72 + -33 Combine like terms: 33 + -33 = 0 0 + -24d = -72 + -33 -24d = -72 + -33 Combine like terms: -72 + -33 = -105 -24d = -105 Divide each side by '-24'. d = 4.375 Simplifying d = 4.375
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