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Simplifying 8t + 46 = 10t + 44 Reorder the terms: 46 + 8t = 10t + 44 Reorder the terms: 46 + 8t = 44 + 10t Solving 46 + 8t = 44 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 46 + 8t + -10t = 44 + 10t + -10t Combine like terms: 8t + -10t = -2t 46 + -2t = 44 + 10t + -10t Combine like terms: 10t + -10t = 0 46 + -2t = 44 + 0 46 + -2t = 44 Add '-46' to each side of the equation. 46 + -46 + -2t = 44 + -46 Combine like terms: 46 + -46 = 0 0 + -2t = 44 + -46 -2t = 44 + -46 Combine like terms: 44 + -46 = -2 -2t = -2 Divide each side by '-2'. t = 1 Simplifying t = 1
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