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Simplifying (7t + -1) + (8t + 5) = 0 Reorder the terms: (-1 + 7t) + (8t + 5) = 0 Remove parenthesis around (-1 + 7t) -1 + 7t + (8t + 5) = 0 Reorder the terms: -1 + 7t + (5 + 8t) = 0 Remove parenthesis around (5 + 8t) -1 + 7t + 5 + 8t = 0 Reorder the terms: -1 + 5 + 7t + 8t = 0 Combine like terms: -1 + 5 = 4 4 + 7t + 8t = 0 Combine like terms: 7t + 8t = 15t 4 + 15t = 0 Solving 4 + 15t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 15t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 15t = 0 + -4 15t = 0 + -4 Combine like terms: 0 + -4 = -4 15t = -4 Divide each side by '15'. t = -0.2666666667 Simplifying t = -0.2666666667
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