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Simplifying 9(t + 2) = 7(t + 3) Reorder the terms: 9(2 + t) = 7(t + 3) (2 * 9 + t * 9) = 7(t + 3) (18 + 9t) = 7(t + 3) Reorder the terms: 18 + 9t = 7(3 + t) 18 + 9t = (3 * 7 + t * 7) 18 + 9t = (21 + 7t) Solving 18 + 9t = 21 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 18 + 9t + -7t = 21 + 7t + -7t Combine like terms: 9t + -7t = 2t 18 + 2t = 21 + 7t + -7t Combine like terms: 7t + -7t = 0 18 + 2t = 21 + 0 18 + 2t = 21 Add '-18' to each side of the equation. 18 + -18 + 2t = 21 + -18 Combine like terms: 18 + -18 = 0 0 + 2t = 21 + -18 2t = 21 + -18 Combine like terms: 21 + -18 = 3 2t = 3 Divide each side by '2'. t = 1.5 Simplifying t = 1.5
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