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Simplifying 2t + 6 + 4t + -5t = 3 + 4 Reorder the terms: 6 + 2t + 4t + -5t = 3 + 4 Combine like terms: 2t + 4t = 6t 6 + 6t + -5t = 3 + 4 Combine like terms: 6t + -5t = 1t 6 + 1t = 3 + 4 Combine like terms: 3 + 4 = 7 6 + 1t = 7 Solving 6 + 1t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 1t = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 1t = 7 + -6 1t = 7 + -6 Combine like terms: 7 + -6 = 1 1t = 1 Divide each side by '1'. t = 1 Simplifying t = 1
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