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Simplifying 45 + t + 35 = 3t + 27 Reorder the terms: 45 + 35 + t = 3t + 27 Combine like terms: 45 + 35 = 80 80 + t = 3t + 27 Reorder the terms: 80 + t = 27 + 3t Solving 80 + t = 27 + 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. 80 + t + -3t = 27 + 3t + -3t Combine like terms: t + -3t = -2t 80 + -2t = 27 + 3t + -3t Combine like terms: 3t + -3t = 0 80 + -2t = 27 + 0 80 + -2t = 27 Add '-80' to each side of the equation. 80 + -80 + -2t = 27 + -80 Combine like terms: 80 + -80 = 0 0 + -2t = 27 + -80 -2t = 27 + -80 Combine like terms: 27 + -80 = -53 -2t = -53 Divide each side by '-2'. t = 26.5 Simplifying t = 26.5
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