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Simplifying (t + 3) + (t + 4) + (t + -1) = 0 Reorder the terms: (3 + t) + (t + 4) + (t + -1) = 0 Remove parenthesis around (3 + t) 3 + t + (t + 4) + (t + -1) = 0 Reorder the terms: 3 + t + (4 + t) + (t + -1) = 0 Remove parenthesis around (4 + t) 3 + t + 4 + t + (t + -1) = 0 Reorder the terms: 3 + t + 4 + t + (-1 + t) = 0 Remove parenthesis around (-1 + t) 3 + t + 4 + t + -1 + t = 0 Reorder the terms: 3 + 4 + -1 + t + t + t = 0 Combine like terms: 3 + 4 = 7 7 + -1 + t + t + t = 0 Combine like terms: 7 + -1 = 6 6 + t + t + t = 0 Combine like terms: t + t = 2t 6 + 2t + t = 0 Combine like terms: 2t + t = 3t 6 + 3t = 0 Solving 6 + 3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3t = 0 + -6 3t = 0 + -6 Combine like terms: 0 + -6 = -6 3t = -6 Divide each side by '3'. t = -2 Simplifying t = -2
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