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Simplifying (6t + 2) + (5t + 9) = 0 Reorder the terms: (2 + 6t) + (5t + 9) = 0 Remove parenthesis around (2 + 6t) 2 + 6t + (5t + 9) = 0 Reorder the terms: 2 + 6t + (9 + 5t) = 0 Remove parenthesis around (9 + 5t) 2 + 6t + 9 + 5t = 0 Reorder the terms: 2 + 9 + 6t + 5t = 0 Combine like terms: 2 + 9 = 11 11 + 6t + 5t = 0 Combine like terms: 6t + 5t = 11t 11 + 11t = 0 Solving 11 + 11t = 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 + 11t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 11t = 0 + -11 11t = 0 + -11 Combine like terms: 0 + -11 = -11 11t = -11 Divide each side by '11'. t = -1 Simplifying t = -1
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