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Simplifying 6(2t + 5) = 42 Reorder the terms: 6(5 + 2t) = 42 (5 * 6 + 2t * 6) = 42 (30 + 12t) = 42 Solving 30 + 12t = 42 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 12t = 42 + -30 Combine like terms: 30 + -30 = 0 0 + 12t = 42 + -30 12t = 42 + -30 Combine like terms: 42 + -30 = 12 12t = 12 Divide each side by '12'. t = 1 Simplifying t = 1
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