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Simplifying (8t + -3) + (6t + 5) = 0 Reorder the terms: (-3 + 8t) + (6t + 5) = 0 Remove parenthesis around (-3 + 8t) -3 + 8t + (6t + 5) = 0 Reorder the terms: -3 + 8t + (5 + 6t) = 0 Remove parenthesis around (5 + 6t) -3 + 8t + 5 + 6t = 0 Reorder the terms: -3 + 5 + 8t + 6t = 0 Combine like terms: -3 + 5 = 2 2 + 8t + 6t = 0 Combine like terms: 8t + 6t = 14t 2 + 14t = 0 Solving 2 + 14t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 14t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 14t = 0 + -2 14t = 0 + -2 Combine like terms: 0 + -2 = -2 14t = -2 Divide each side by '14'. t = -0.1428571429 Simplifying t = -0.1428571429
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