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Simplifying 5t + -1(4 + -1t) = 8 + -1(2 + t) 5t + (4 * -1 + -1t * -1) = 8 + -1(2 + t) 5t + (-4 + 1t) = 8 + -1(2 + t) Reorder the terms: -4 + 5t + 1t = 8 + -1(2 + t) Combine like terms: 5t + 1t = 6t -4 + 6t = 8 + -1(2 + t) -4 + 6t = 8 + (2 * -1 + t * -1) -4 + 6t = 8 + (-2 + -1t) Combine like terms: 8 + -2 = 6 -4 + 6t = 6 + -1t Solving -4 + 6t = 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. -4 + 6t + t = 6 + -1t + t Combine like terms: 6t + t = 7t -4 + 7t = 6 + -1t + t Combine like terms: -1t + t = 0 -4 + 7t = 6 + 0 -4 + 7t = 6 Add '4' to each side of the equation. -4 + 4 + 7t = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 7t = 6 + 4 7t = 6 + 4 Combine like terms: 6 + 4 = 10 7t = 10 Divide each side by '7'. t = 1.428571429 Simplifying t = 1.428571429
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