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Simplifying 3(2t + 4) = 43 Reorder the terms: 3(4 + 2t) = 43 (4 * 3 + 2t * 3) = 43 (12 + 6t) = 43 Solving 12 + 6t = 43 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6t = 43 + -12 Combine like terms: 12 + -12 = 0 0 + 6t = 43 + -12 6t = 43 + -12 Combine like terms: 43 + -12 = 31 6t = 31 Divide each side by '6'. t = 5.166666667 Simplifying t = 5.166666667
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