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Simplifying (3t + 2) + (3t + 3) + 4 = 15 Reorder the terms: (2 + 3t) + (3t + 3) + 4 = 15 Remove parenthesis around (2 + 3t) 2 + 3t + (3t + 3) + 4 = 15 Reorder the terms: 2 + 3t + (3 + 3t) + 4 = 15 Remove parenthesis around (3 + 3t) 2 + 3t + 3 + 3t + 4 = 15 Reorder the terms: 2 + 3 + 4 + 3t + 3t = 15 Combine like terms: 2 + 3 = 5 5 + 4 + 3t + 3t = 15 Combine like terms: 5 + 4 = 9 9 + 3t + 3t = 15 Combine like terms: 3t + 3t = 6t 9 + 6t = 15 Solving 9 + 6t = 15 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6t = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 6t = 15 + -9 6t = 15 + -9 Combine like terms: 15 + -9 = 6 6t = 6 Divide each side by '6'. t = 1 Simplifying t = 1
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