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Simplifying 0 = 8t + (7 + 3t) * 4 + 27 Reorder the terms for easier multiplication: 0 = 8t + 4(7 + 3t) + 27 0 = 8t + (7 * 4 + 3t * 4) + 27 0 = 8t + (28 + 12t) + 27 Reorder the terms: 0 = 28 + 27 + 8t + 12t Combine like terms: 28 + 27 = 55 0 = 55 + 8t + 12t Combine like terms: 8t + 12t = 20t 0 = 55 + 20t Solving 0 = 55 + 20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20t' to each side of the equation. 0 + -20t = 55 + 20t + -20t Remove the zero: -20t = 55 + 20t + -20t Combine like terms: 20t + -20t = 0 -20t = 55 + 0 -20t = 55 Divide each side by '-20'. t = -2.75 Simplifying t = -2.75
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