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Simplifying (3t + 5) + (9 + t) + 1 = 0 Reorder the terms: (5 + 3t) + (9 + t) + 1 = 0 Remove parenthesis around (5 + 3t) 5 + 3t + (9 + t) + 1 = 0 Remove parenthesis around (9 + t) 5 + 3t + 9 + t + 1 = 0 Reorder the terms: 5 + 9 + 1 + 3t + t = 0 Combine like terms: 5 + 9 = 14 14 + 1 + 3t + t = 0 Combine like terms: 14 + 1 = 15 15 + 3t + t = 0 Combine like terms: 3t + t = 4t 15 + 4t = 0 Solving 15 + 4t = 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 + 4t = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4t = 0 + -15 4t = 0 + -15 Combine like terms: 0 + -15 = -15 4t = -15 Divide each side by '4'. t = -3.75 Simplifying t = -3.75
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