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Simplifying 0 = t + 3 + 8(5 + t) 0 = t + 3 + (5 * 8 + t * 8) 0 = t + 3 + (40 + 8t) Reorder the terms: 0 = 3 + 40 + t + 8t Combine like terms: 3 + 40 = 43 0 = 43 + t + 8t Combine like terms: t + 8t = 9t 0 = 43 + 9t Solving 0 = 43 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 0 + -9t = 43 + 9t + -9t Remove the zero: -9t = 43 + 9t + -9t Combine like terms: 9t + -9t = 0 -9t = 43 + 0 -9t = 43 Divide each side by '-9'. t = -4.777777778 Simplifying t = -4.777777778
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