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Simplifying t + 80 = 2t + 45 Reorder the terms: 80 + t = 2t + 45 Reorder the terms: 80 + t = 45 + 2t Solving 80 + t = 45 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 80 + t + -2t = 45 + 2t + -2t Combine like terms: t + -2t = -1t 80 + -1t = 45 + 2t + -2t Combine like terms: 2t + -2t = 0 80 + -1t = 45 + 0 80 + -1t = 45 Add '-80' to each side of the equation. 80 + -80 + -1t = 45 + -80 Combine like terms: 80 + -80 = 0 0 + -1t = 45 + -80 -1t = 45 + -80 Combine like terms: 45 + -80 = -35 -1t = -35 Divide each side by '-1'. t = 35 Simplifying t = 35
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