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Simplifying t + 50 = 3t + -46 Reorder the terms: 50 + t = 3t + -46 Reorder the terms: 50 + t = -46 + 3t Solving 50 + t = -46 + 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. 50 + t + -3t = -46 + 3t + -3t Combine like terms: t + -3t = -2t 50 + -2t = -46 + 3t + -3t Combine like terms: 3t + -3t = 0 50 + -2t = -46 + 0 50 + -2t = -46 Add '-50' to each side of the equation. 50 + -50 + -2t = -46 + -50 Combine like terms: 50 + -50 = 0 0 + -2t = -46 + -50 -2t = -46 + -50 Combine like terms: -46 + -50 = -96 -2t = -96 Divide each side by '-2'. t = 48 Simplifying t = 48
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