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Simplifying 9(t + 2) = 3(t + 2) Reorder the terms: 9(2 + t) = 3(t + 2) (2 * 9 + t * 9) = 3(t + 2) (18 + 9t) = 3(t + 2) Reorder the terms: 18 + 9t = 3(2 + t) 18 + 9t = (2 * 3 + t * 3) 18 + 9t = (6 + 3t) Solving 18 + 9t = 6 + 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 = 6 + 3t + -3t Combine like terms: 9t + -3t = 6t 18 + 6t = 6 + 3t + -3t Combine like terms: 3t + -3t = 0 18 + 6t = 6 + 0 18 + 6t = 6 Add '-18' to each side of the equation. 18 + -18 + 6t = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 6t = 6 + -18 6t = 6 + -18 Combine like terms: 6 + -18 = -12 6t = -12 Divide each side by '6'. t = -2 Simplifying t = -2
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