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Simplifying 5 + 10t + -4 = 9t + 25 + -7t Reorder the terms: 5 + -4 + 10t = 9t + 25 + -7t Combine like terms: 5 + -4 = 1 1 + 10t = 9t + 25 + -7t Reorder the terms: 1 + 10t = 25 + 9t + -7t Combine like terms: 9t + -7t = 2t 1 + 10t = 25 + 2t Solving 1 + 10t = 25 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 1 + 10t + -2t = 25 + 2t + -2t Combine like terms: 10t + -2t = 8t 1 + 8t = 25 + 2t + -2t Combine like terms: 2t + -2t = 0 1 + 8t = 25 + 0 1 + 8t = 25 Add '-1' to each side of the equation. 1 + -1 + 8t = 25 + -1 Combine like terms: 1 + -1 = 0 0 + 8t = 25 + -1 8t = 25 + -1 Combine like terms: 25 + -1 = 24 8t = 24 Divide each side by '8'. t = 3 Simplifying t = 3
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