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Simplifying 9(2 + t) + -7(t + 1) = 0 (2 * 9 + t * 9) + -7(t + 1) = 0 (18 + 9t) + -7(t + 1) = 0 Reorder the terms: 18 + 9t + -7(1 + t) = 0 18 + 9t + (1 * -7 + t * -7) = 0 18 + 9t + (-7 + -7t) = 0 Reorder the terms: 18 + -7 + 9t + -7t = 0 Combine like terms: 18 + -7 = 11 11 + 9t + -7t = 0 Combine like terms: 9t + -7t = 2t 11 + 2t = 0 Solving 11 + 2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2t = 0 + -11 2t = 0 + -11 Combine like terms: 0 + -11 = -11 2t = -11 Divide each side by '2'. t = -5.5 Simplifying t = -5.5
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