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Simplifying 0 = 8t + (7 + 3t) * 4 + 2t Reorder the terms for easier multiplication: 0 = 8t + 4(7 + 3t) + 2t 0 = 8t + (7 * 4 + 3t * 4) + 2t 0 = 8t + (28 + 12t) + 2t Reorder the terms: 0 = 28 + 8t + 12t + 2t Combine like terms: 8t + 12t = 20t 0 = 28 + 20t + 2t Combine like terms: 20t + 2t = 22t 0 = 28 + 22t Solving 0 = 28 + 22t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-22t' to each side of the equation. 0 + -22t = 28 + 22t + -22t Remove the zero: -22t = 28 + 22t + -22t Combine like terms: 22t + -22t = 0 -22t = 28 + 0 -22t = 28 Divide each side by '-22'. t = -1.272727273 Simplifying t = -1.272727273
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