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