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