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Simplifying 9(t + 2) = (3t + -2) Reorder the terms: 9(2 + t) = (3t + -2) (2 * 9 + t * 9) = (3t + -2) (18 + 9t) = (3t + -2) Reorder the terms: 18 + 9t = (-2 + 3t) Remove parenthesis around (-2 + 3t) 18 + 9t = -2 + 3t Solving 18 + 9t = -2 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 18 + 9t + -3t = -2 + 3t + -3t Combine like terms: 9t + -3t = 6t 18 + 6t = -2 + 3t + -3t Combine like terms: 3t + -3t = 0 18 + 6t = -2 + 0 18 + 6t = -2 Add '-18' to each side of the equation. 18 + -18 + 6t = -2 + -18 Combine like terms: 18 + -18 = 0 0 + 6t = -2 + -18 6t = -2 + -18 Combine like terms: -2 + -18 = -20 6t = -20 Divide each side by '6'. t = -3.333333333 Simplifying t = -3.333333333
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