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Simplifying 2t + 1 + 3t + -4t = 6 + 4 Reorder the terms: 1 + 2t + 3t + -4t = 6 + 4 Combine like terms: 2t + 3t = 5t 1 + 5t + -4t = 6 + 4 Combine like terms: 5t + -4t = 1t 1 + 1t = 6 + 4 Combine like terms: 6 + 4 = 10 1 + 1t = 10 Solving 1 + 1t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1t = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 1t = 10 + -1 1t = 10 + -1 Combine like terms: 10 + -1 = 9 1t = 9 Divide each side by '1'. t = 9 Simplifying t = 9
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