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Simplifying 9(4 + t) + -2(t + 1) = 0 (4 * 9 + t * 9) + -2(t + 1) = 0 (36 + 9t) + -2(t + 1) = 0 Reorder the terms: 36 + 9t + -2(1 + t) = 0 36 + 9t + (1 * -2 + t * -2) = 0 36 + 9t + (-2 + -2t) = 0 Reorder the terms: 36 + -2 + 9t + -2t = 0 Combine like terms: 36 + -2 = 34 34 + 9t + -2t = 0 Combine like terms: 9t + -2t = 7t 34 + 7t = 0 Solving 34 + 7t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 7t = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 7t = 0 + -34 7t = 0 + -34 Combine like terms: 0 + -34 = -34 7t = -34 Divide each side by '7'. t = -4.857142857 Simplifying t = -4.857142857
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