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