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Simplifying 8 + -2t + 3(3t + -2) = 0 Reorder the terms: 8 + -2t + 3(-2 + 3t) = 0 8 + -2t + (-2 * 3 + 3t * 3) = 0 8 + -2t + (-6 + 9t) = 0 Reorder the terms: 8 + -6 + -2t + 9t = 0 Combine like terms: 8 + -6 = 2 2 + -2t + 9t = 0 Combine like terms: -2t + 9t = 7t 2 + 7t = 0 Solving 2 + 7t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7t = 0 + -2 7t = 0 + -2 Combine like terms: 0 + -2 = -2 7t = -2 Divide each side by '7'. t = -0.2857142857 Simplifying t = -0.2857142857
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