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Simplifying t + (t + 10) + (t + 20) = 180 Reorder the terms: t + (10 + t) + (t + 20) = 180 Remove parenthesis around (10 + t) t + 10 + t + (t + 20) = 180 Reorder the terms: t + 10 + t + (20 + t) = 180 Remove parenthesis around (20 + t) t + 10 + t + 20 + t = 180 Reorder the terms: 10 + 20 + t + t + t = 180 Combine like terms: 10 + 20 = 30 30 + t + t + t = 180 Combine like terms: t + t = 2t 30 + 2t + t = 180 Combine like terms: 2t + t = 3t 30 + 3t = 180 Solving 30 + 3t = 180 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 3t = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 3t = 180 + -30 3t = 180 + -30 Combine like terms: 180 + -30 = 150 3t = 150 Divide each side by '3'. t = 50 Simplifying t = 50
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