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Simplifying 10t + 78 = 8t + 84 Reorder the terms: 78 + 10t = 8t + 84 Reorder the terms: 78 + 10t = 84 + 8t Solving 78 + 10t = 84 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 78 + 10t + -8t = 84 + 8t + -8t Combine like terms: 10t + -8t = 2t 78 + 2t = 84 + 8t + -8t Combine like terms: 8t + -8t = 0 78 + 2t = 84 + 0 78 + 2t = 84 Add '-78' to each side of the equation. 78 + -78 + 2t = 84 + -78 Combine like terms: 78 + -78 = 0 0 + 2t = 84 + -78 2t = 84 + -78 Combine like terms: 84 + -78 = 6 2t = 6 Divide each side by '2'. t = 3 Simplifying t = 3
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