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Simplifying 7 + 9t + 2 + 12(-11 + t) = 0 7 + 9t + 2 + (-11 * 12 + t * 12) = 0 7 + 9t + 2 + (-132 + 12t) = 0 Reorder the terms: 7 + 2 + -132 + 9t + 12t = 0 Combine like terms: 7 + 2 = 9 9 + -132 + 9t + 12t = 0 Combine like terms: 9 + -132 = -123 -123 + 9t + 12t = 0 Combine like terms: 9t + 12t = 21t -123 + 21t = 0 Solving -123 + 21t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '123' to each side of the equation. -123 + 123 + 21t = 0 + 123 Combine like terms: -123 + 123 = 0 0 + 21t = 0 + 123 21t = 0 + 123 Combine like terms: 0 + 123 = 123 21t = 123 Divide each side by '21'. t = 5.857142857 Simplifying t = 5.857142857
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