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Simplifying 3(2t + -3) + 2 = 18 + -1t Reorder the terms: 3(-3 + 2t) + 2 = 18 + -1t (-3 * 3 + 2t * 3) + 2 = 18 + -1t (-9 + 6t) + 2 = 18 + -1t Reorder the terms: -9 + 2 + 6t = 18 + -1t Combine like terms: -9 + 2 = -7 -7 + 6t = 18 + -1t Solving -7 + 6t = 18 + -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. -7 + 6t + t = 18 + -1t + t Combine like terms: 6t + t = 7t -7 + 7t = 18 + -1t + t Combine like terms: -1t + t = 0 -7 + 7t = 18 + 0 -7 + 7t = 18 Add '7' to each side of the equation. -7 + 7 + 7t = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 7t = 18 + 7 7t = 18 + 7 Combine like terms: 18 + 7 = 25 7t = 25 Divide each side by '7'. t = 3.571428571 Simplifying t = 3.571428571
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