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Simplifying 2(t + -1) + t = 8 + -1t Reorder the terms: 2(-1 + t) + t = 8 + -1t (-1 * 2 + t * 2) + t = 8 + -1t (-2 + 2t) + t = 8 + -1t Combine like terms: 2t + t = 3t -2 + 3t = 8 + -1t Solving -2 + 3t = 8 + -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. -2 + 3t + t = 8 + -1t + t Combine like terms: 3t + t = 4t -2 + 4t = 8 + -1t + t Combine like terms: -1t + t = 0 -2 + 4t = 8 + 0 -2 + 4t = 8 Add '2' to each side of the equation. -2 + 2 + 4t = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 4t = 8 + 2 4t = 8 + 2 Combine like terms: 8 + 2 = 10 4t = 10 Divide each side by '4'. t = 2.5 Simplifying t = 2.5
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