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Simplifying 5[2t + 1] + 3[t + 2] = 0 Reorder the terms: 5[1 + 2t] + 3[t + 2] = 0 [1 * 5 + 2t * 5] + 3[t + 2] = 0 [5 + 10t] + 3[t + 2] = 0 Reorder the terms: 5 + 10t + 3[2 + t] = 0 5 + 10t + [2 * 3 + t * 3] = 0 5 + 10t + [6 + 3t] = 0 Reorder the terms: 5 + 6 + 10t + 3t = 0 Combine like terms: 5 + 6 = 11 11 + 10t + 3t = 0 Combine like terms: 10t + 3t = 13t 11 + 13t = 0 Solving 11 + 13t = 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 + 13t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 13t = 0 + -11 13t = 0 + -11 Combine like terms: 0 + -11 = -11 13t = -11 Divide each side by '13'. t = -0.8461538462 Simplifying t = -0.8461538462
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