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Simplifying (2t + 6) + (6t + 7) = 0 Reorder the terms: (6 + 2t) + (6t + 7) = 0 Remove parenthesis around (6 + 2t) 6 + 2t + (6t + 7) = 0 Reorder the terms: 6 + 2t + (7 + 6t) = 0 Remove parenthesis around (7 + 6t) 6 + 2t + 7 + 6t = 0 Reorder the terms: 6 + 7 + 2t + 6t = 0 Combine like terms: 6 + 7 = 13 13 + 2t + 6t = 0 Combine like terms: 2t + 6t = 8t 13 + 8t = 0 Solving 13 + 8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 8t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 8t = 0 + -13 8t = 0 + -13 Combine like terms: 0 + -13 = -13 8t = -13 Divide each side by '8'. t = -1.625 Simplifying t = -1.625
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