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Simplifying 2t + 46 = 5t + -47 Reorder the terms: 46 + 2t = 5t + -47 Reorder the terms: 46 + 2t = -47 + 5t Solving 46 + 2t = -47 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 46 + 2t + -5t = -47 + 5t + -5t Combine like terms: 2t + -5t = -3t 46 + -3t = -47 + 5t + -5t Combine like terms: 5t + -5t = 0 46 + -3t = -47 + 0 46 + -3t = -47 Add '-46' to each side of the equation. 46 + -46 + -3t = -47 + -46 Combine like terms: 46 + -46 = 0 0 + -3t = -47 + -46 -3t = -47 + -46 Combine like terms: -47 + -46 = -93 -3t = -93 Divide each side by '-3'. t = 31 Simplifying t = 31
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