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Simplifying 4 + 10t + -2 = 9t + 10 + -7t Reorder the terms: 4 + -2 + 10t = 9t + 10 + -7t Combine like terms: 4 + -2 = 2 2 + 10t = 9t + 10 + -7t Reorder the terms: 2 + 10t = 10 + 9t + -7t Combine like terms: 9t + -7t = 2t 2 + 10t = 10 + 2t Solving 2 + 10t = 10 + 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. 2 + 10t + -2t = 10 + 2t + -2t Combine like terms: 10t + -2t = 8t 2 + 8t = 10 + 2t + -2t Combine like terms: 2t + -2t = 0 2 + 8t = 10 + 0 2 + 8t = 10 Add '-2' to each side of the equation. 2 + -2 + 8t = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 8t = 10 + -2 8t = 10 + -2 Combine like terms: 10 + -2 = 8 8t = 8 Divide each side by '8'. t = 1 Simplifying t = 1
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