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Simplifying 4(t + 5) + 2t = -8t Reorder the terms: 4(5 + t) + 2t = -8t (5 * 4 + t * 4) + 2t = -8t (20 + 4t) + 2t = -8t Combine like terms: 4t + 2t = 6t 20 + 6t = -8t Solving 20 + 6t = -8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8t' to each side of the equation. 20 + 6t + 8t = -8t + 8t Combine like terms: 6t + 8t = 14t 20 + 14t = -8t + 8t Combine like terms: -8t + 8t = 0 20 + 14t = 0 Add '-20' to each side of the equation. 20 + -20 + 14t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 14t = 0 + -20 14t = 0 + -20 Combine like terms: 0 + -20 = -20 14t = -20 Divide each side by '14'. t = -1.428571429 Simplifying t = -1.428571429
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