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Simplifying 2(3t + 4) = 5(2 + 1) Reorder the terms: 2(4 + 3t) = 5(2 + 1) (4 * 2 + 3t * 2) = 5(2 + 1) (8 + 6t) = 5(2 + 1) Combine like terms: 2 + 1 = 3 8 + 6t = 5(3) Multiply 5 * 3 8 + 6t = 15 Solving 8 + 6t = 15 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 6t = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 6t = 15 + -8 6t = 15 + -8 Combine like terms: 15 + -8 = 7 6t = 7 Divide each side by '6'. t = 1.166666667 Simplifying t = 1.166666667
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