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Simplifying 9(t + 2) = 2(t + -2) Reorder the terms: 9(2 + t) = 2(t + -2) (2 * 9 + t * 9) = 2(t + -2) (18 + 9t) = 2(t + -2) Reorder the terms: 18 + 9t = 2(-2 + t) 18 + 9t = (-2 * 2 + t * 2) 18 + 9t = (-4 + 2t) Solving 18 + 9t = -4 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 18 + 9t + -2t = -4 + 2t + -2t Combine like terms: 9t + -2t = 7t 18 + 7t = -4 + 2t + -2t Combine like terms: 2t + -2t = 0 18 + 7t = -4 + 0 18 + 7t = -4 Add '-18' to each side of the equation. 18 + -18 + 7t = -4 + -18 Combine like terms: 18 + -18 = 0 0 + 7t = -4 + -18 7t = -4 + -18 Combine like terms: -4 + -18 = -22 7t = -22 Divide each side by '7'. t = -3.142857143 Simplifying t = -3.142857143
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