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Simplifying 2(3t + -5) + 1 = 30 + -1t Reorder the terms: 2(-5 + 3t) + 1 = 30 + -1t (-5 * 2 + 3t * 2) + 1 = 30 + -1t (-10 + 6t) + 1 = 30 + -1t Reorder the terms: -10 + 1 + 6t = 30 + -1t Combine like terms: -10 + 1 = -9 -9 + 6t = 30 + -1t Solving -9 + 6t = 30 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -9 + 6t + t = 30 + -1t + t Combine like terms: 6t + t = 7t -9 + 7t = 30 + -1t + t Combine like terms: -1t + t = 0 -9 + 7t = 30 + 0 -9 + 7t = 30 Add '9' to each side of the equation. -9 + 9 + 7t = 30 + 9 Combine like terms: -9 + 9 = 0 0 + 7t = 30 + 9 7t = 30 + 9 Combine like terms: 30 + 9 = 39 7t = 39 Divide each side by '7'. t = 5.571428571 Simplifying t = 5.571428571
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