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Simplifying (2t + -1) * 4 + 2t * 4 = 0 Reorder the terms: (-1 + 2t) * 4 + 2t * 4 = 0 Reorder the terms for easier multiplication: 4(-1 + 2t) + 2t * 4 = 0 (-1 * 4 + 2t * 4) + 2t * 4 = 0 (-4 + 8t) + 2t * 4 = 0 Reorder the terms for easier multiplication: -4 + 8t + 2 * 4t = 0 Multiply 2 * 4 -4 + 8t + 8t = 0 Combine like terms: 8t + 8t = 16t -4 + 16t = 0 Solving -4 + 16t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 16t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 16t = 0 + 4 16t = 0 + 4 Combine like terms: 0 + 4 = 4 16t = 4 Divide each side by '16'. t = 0.25 Simplifying t = 0.25
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