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Simplifying 8 + 6(6t + 7) = 0 Reorder the terms: 8 + 6(7 + 6t) = 0 8 + (7 * 6 + 6t * 6) = 0 8 + (42 + 36t) = 0 Combine like terms: 8 + 42 = 50 50 + 36t = 0 Solving 50 + 36t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 36t = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 36t = 0 + -50 36t = 0 + -50 Combine like terms: 0 + -50 = -50 36t = -50 Divide each side by '36'. t = -1.388888889 Simplifying t = -1.388888889
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