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Simplifying 4[2t + -1(3 + -1t) + 5] = -1(2 + 7) 4[2t + (3 * -1 + -1t * -1) + 5] = -1(2 + 7) 4[2t + (-3 + 1t) + 5] = -1(2 + 7) Reorder the terms: 4[-3 + 5 + 2t + 1t] = -1(2 + 7) Combine like terms: -3 + 5 = 2 4[2 + 2t + 1t] = -1(2 + 7) Combine like terms: 2t + 1t = 3t 4[2 + 3t] = -1(2 + 7) [2 * 4 + 3t * 4] = -1(2 + 7) [8 + 12t] = -1(2 + 7) Combine like terms: 2 + 7 = 9 8 + 12t = -1(9) Multiply -1 * 9 8 + 12t = -9 Solving 8 + 12t = -9 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 + 12t = -9 + -8 Combine like terms: 8 + -8 = 0 0 + 12t = -9 + -8 12t = -9 + -8 Combine like terms: -9 + -8 = -17 12t = -17 Divide each side by '12'. t = -1.416666667 Simplifying t = -1.416666667
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