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Simplifying 7t + -1(8t + -4) + -2 = 5 + -1(4t + 2) Reorder the terms: 7t + -1(-4 + 8t) + -2 = 5 + -1(4t + 2) 7t + (-4 * -1 + 8t * -1) + -2 = 5 + -1(4t + 2) 7t + (4 + -8t) + -2 = 5 + -1(4t + 2) Reorder the terms: 4 + -2 + 7t + -8t = 5 + -1(4t + 2) Combine like terms: 4 + -2 = 2 2 + 7t + -8t = 5 + -1(4t + 2) Combine like terms: 7t + -8t = -1t 2 + -1t = 5 + -1(4t + 2) Reorder the terms: 2 + -1t = 5 + -1(2 + 4t) 2 + -1t = 5 + (2 * -1 + 4t * -1) 2 + -1t = 5 + (-2 + -4t) Combine like terms: 5 + -2 = 3 2 + -1t = 3 + -4t Solving 2 + -1t = 3 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 2 + -1t + 4t = 3 + -4t + 4t Combine like terms: -1t + 4t = 3t 2 + 3t = 3 + -4t + 4t Combine like terms: -4t + 4t = 0 2 + 3t = 3 + 0 2 + 3t = 3 Add '-2' to each side of the equation. 2 + -2 + 3t = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 3t = 3 + -2 3t = 3 + -2 Combine like terms: 3 + -2 = 1 3t = 1 Divide each side by '3'. t = 0.3333333333 Simplifying t = 0.3333333333
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