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Simplifying 4x(3t + 4) = 0 Reorder the terms: 4x(4 + 3t) = 0 (4 * 4x + 3t * 4x) = 0 Reorder the terms: (12tx + 16x) = 0 (12tx + 16x) = 0 Solving 12tx + 16x = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16x' to each side of the equation. 12tx + 16x + -16x = 0 + -16x Combine like terms: 16x + -16x = 0 12tx + 0 = 0 + -16x 12tx = 0 + -16x Remove the zero: 12tx = -16x Divide each side by '12x'. t = -1.333333333 Simplifying t = -1.333333333
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