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