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Simplifying 4t + 2 + 2t + -5t = 6 + 3 Reorder the terms: 2 + 4t + 2t + -5t = 6 + 3 Combine like terms: 4t + 2t = 6t 2 + 6t + -5t = 6 + 3 Combine like terms: 6t + -5t = 1t 2 + 1t = 6 + 3 Combine like terms: 6 + 3 = 9 2 + 1t = 9 Solving 2 + 1t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1t = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 1t = 9 + -2 1t = 9 + -2 Combine like terms: 9 + -2 = 7 1t = 7 Divide each side by '1'. t = 7 Simplifying t = 7
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