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Simplifying 8x(2 + 3q) = 0 (2 * 8x + 3q * 8x) = 0 Reorder the terms: (24qx + 16x) = 0 (24qx + 16x) = 0 Solving 24qx + 16x = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-16x' to each side of the equation. 24qx + 16x + -16x = 0 + -16x Combine like terms: 16x + -16x = 0 24qx + 0 = 0 + -16x 24qx = 0 + -16x Remove the zero: 24qx = -16x Divide each side by '24x'. q = -0.6666666667 Simplifying q = -0.6666666667
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