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Simplifying 4t + 1 = 3(t + 2) Reorder the terms: 1 + 4t = 3(t + 2) Reorder the terms: 1 + 4t = 3(2 + t) 1 + 4t = (2 * 3 + t * 3) 1 + 4t = (6 + 3t) Solving 1 + 4t = 6 + 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. 1 + 4t + -3t = 6 + 3t + -3t Combine like terms: 4t + -3t = 1t 1 + 1t = 6 + 3t + -3t Combine like terms: 3t + -3t = 0 1 + 1t = 6 + 0 1 + 1t = 6 Add '-1' to each side of the equation. 1 + -1 + 1t = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 1t = 6 + -1 1t = 6 + -1 Combine like terms: 6 + -1 = 5 1t = 5 Divide each side by '1'. t = 5 Simplifying t = 5
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