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Simplifying (10t + 7) + (8 + 3t) = 0 Reorder the terms: (7 + 10t) + (8 + 3t) = 0 Remove parenthesis around (7 + 10t) 7 + 10t + (8 + 3t) = 0 Remove parenthesis around (8 + 3t) 7 + 10t + 8 + 3t = 0 Reorder the terms: 7 + 8 + 10t + 3t = 0 Combine like terms: 7 + 8 = 15 15 + 10t + 3t = 0 Combine like terms: 10t + 3t = 13t 15 + 13t = 0 Solving 15 + 13t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 13t = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 13t = 0 + -15 13t = 0 + -15 Combine like terms: 0 + -15 = -15 13t = -15 Divide each side by '13'. t = -1.153846154 Simplifying t = -1.153846154
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