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Simplifying 180 = 90 + (t + 10.5) + 2t Reorder the terms: 180 = 90 + (10.5 + t) + 2t Remove parenthesis around (10.5 + t) 180 = 90 + 10.5 + t + 2t Combine like terms: 90 + 10.5 = 100.5 180 = 100.5 + t + 2t Combine like terms: t + 2t = 3t 180 = 100.5 + 3t Solving 180 = 100.5 + 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 = 100.5 + 3t + -3t Combine like terms: 3t + -3t = 0 180 + -3t = 100.5 + 0 180 + -3t = 100.5 Add '-180' to each side of the equation. 180 + -180 + -3t = 100.5 + -180 Combine like terms: 180 + -180 = 0 0 + -3t = 100.5 + -180 -3t = 100.5 + -180 Combine like terms: 100.5 + -180 = -79.5 -3t = -79.5 Divide each side by '-3'. t = 26.5 Simplifying t = 26.5
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