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Simplifying 3t + 5(3 + t) + -2t + -4 = 0 3t + (3 * 5 + t * 5) + -2t + -4 = 0 3t + (15 + 5t) + -2t + -4 = 0 Reorder the terms: 15 + -4 + 3t + 5t + -2t = 0 Combine like terms: 15 + -4 = 11 11 + 3t + 5t + -2t = 0 Combine like terms: 3t + 5t = 8t 11 + 8t + -2t = 0 Combine like terms: 8t + -2t = 6t 11 + 6t = 0 Solving 11 + 6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 6t = 0 + -11 6t = 0 + -11 Combine like terms: 0 + -11 = -11 6t = -11 Divide each side by '6'. t = -1.833333333 Simplifying t = -1.833333333
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