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Simplifying 4[2t + -1(3 + -1t) + 5] = -1(2 + 7t) 4[2t + (3 * -1 + -1t * -1) + 5] = -1(2 + 7t) 4[2t + (-3 + 1t) + 5] = -1(2 + 7t) Reorder the terms: 4[-3 + 5 + 2t + 1t] = -1(2 + 7t) Combine like terms: -3 + 5 = 2 4[2 + 2t + 1t] = -1(2 + 7t) Combine like terms: 2t + 1t = 3t 4[2 + 3t] = -1(2 + 7t) [2 * 4 + 3t * 4] = -1(2 + 7t) [8 + 12t] = -1(2 + 7t) 8 + 12t = (2 * -1 + 7t * -1) 8 + 12t = (-2 + -7t) Solving 8 + 12t = -2 + -7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7t' to each side of the equation. 8 + 12t + 7t = -2 + -7t + 7t Combine like terms: 12t + 7t = 19t 8 + 19t = -2 + -7t + 7t Combine like terms: -7t + 7t = 0 8 + 19t = -2 + 0 8 + 19t = -2 Add '-8' to each side of the equation. 8 + -8 + 19t = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 19t = -2 + -8 19t = -2 + -8 Combine like terms: -2 + -8 = -10 19t = -10 Divide each side by '19'. t = -0.5263157895 Simplifying t = -0.5263157895
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