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Simplifying 5t + -1(4 + -1t) = 8 + -8(2 + t) 5t + (4 * -1 + -1t * -1) = 8 + -8(2 + t) 5t + (-4 + 1t) = 8 + -8(2 + t) Reorder the terms: -4 + 5t + 1t = 8 + -8(2 + t) Combine like terms: 5t + 1t = 6t -4 + 6t = 8 + -8(2 + t) -4 + 6t = 8 + (2 * -8 + t * -8) -4 + 6t = 8 + (-16 + -8t) Combine like terms: 8 + -16 = -8 -4 + 6t = -8 + -8t Solving -4 + 6t = -8 + -8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8t' to each side of the equation. -4 + 6t + 8t = -8 + -8t + 8t Combine like terms: 6t + 8t = 14t -4 + 14t = -8 + -8t + 8t Combine like terms: -8t + 8t = 0 -4 + 14t = -8 + 0 -4 + 14t = -8 Add '4' to each side of the equation. -4 + 4 + 14t = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 14t = -8 + 4 14t = -8 + 4 Combine like terms: -8 + 4 = -4 14t = -4 Divide each side by '14'. t = -0.2857142857 Simplifying t = -0.2857142857
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