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Simplifying 3 + 4(t + 2) = 2 + 3(t + 4) Reorder the terms: 3 + 4(2 + t) = 2 + 3(t + 4) 3 + (2 * 4 + t * 4) = 2 + 3(t + 4) 3 + (8 + 4t) = 2 + 3(t + 4) Combine like terms: 3 + 8 = 11 11 + 4t = 2 + 3(t + 4) Reorder the terms: 11 + 4t = 2 + 3(4 + t) 11 + 4t = 2 + (4 * 3 + t * 3) 11 + 4t = 2 + (12 + 3t) Combine like terms: 2 + 12 = 14 11 + 4t = 14 + 3t Solving 11 + 4t = 14 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 11 + 4t + -3t = 14 + 3t + -3t Combine like terms: 4t + -3t = 1t 11 + 1t = 14 + 3t + -3t Combine like terms: 3t + -3t = 0 11 + 1t = 14 + 0 11 + 1t = 14 Add '-11' to each side of the equation. 11 + -11 + 1t = 14 + -11 Combine like terms: 11 + -11 = 0 0 + 1t = 14 + -11 1t = 14 + -11 Combine like terms: 14 + -11 = 3 1t = 3 Divide each side by '1'. t = 3 Simplifying t = 3
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