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Simplifying 3(3t + -1) + 2t = 6 + -1t Reorder the terms: 3(-1 + 3t) + 2t = 6 + -1t (-1 * 3 + 3t * 3) + 2t = 6 + -1t (-3 + 9t) + 2t = 6 + -1t Combine like terms: 9t + 2t = 11t -3 + 11t = 6 + -1t Solving -3 + 11t = 6 + -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. -3 + 11t + t = 6 + -1t + t Combine like terms: 11t + t = 12t -3 + 12t = 6 + -1t + t Combine like terms: -1t + t = 0 -3 + 12t = 6 + 0 -3 + 12t = 6 Add '3' to each side of the equation. -3 + 3 + 12t = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 12t = 6 + 3 12t = 6 + 3 Combine like terms: 6 + 3 = 9 12t = 9 Divide each side by '12'. t = 0.75 Simplifying t = 0.75
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