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Simplifying 2t + -12 + 2t + -20 + t + 2 = 180 Reorder the terms: -12 + -20 + 2 + 2t + 2t + t = 180 Combine like terms: -12 + -20 = -32 -32 + 2 + 2t + 2t + t = 180 Combine like terms: -32 + 2 = -30 -30 + 2t + 2t + t = 180 Combine like terms: 2t + 2t = 4t -30 + 4t + t = 180 Combine like terms: 4t + t = 5t -30 + 5t = 180 Solving -30 + 5t = 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 + 5t = 180 + 30 Combine like terms: -30 + 30 = 0 0 + 5t = 180 + 30 5t = 180 + 30 Combine like terms: 180 + 30 = 210 5t = 210 Divide each side by '5'. t = 42 Simplifying t = 42
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