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Simplifying 7(t + 2) = 5(t + 3) Reorder the terms: 7(2 + t) = 5(t + 3) (2 * 7 + t * 7) = 5(t + 3) (14 + 7t) = 5(t + 3) Reorder the terms: 14 + 7t = 5(3 + t) 14 + 7t = (3 * 5 + t * 5) 14 + 7t = (15 + 5t) Solving 14 + 7t = 15 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 14 + 7t + -5t = 15 + 5t + -5t Combine like terms: 7t + -5t = 2t 14 + 2t = 15 + 5t + -5t Combine like terms: 5t + -5t = 0 14 + 2t = 15 + 0 14 + 2t = 15 Add '-14' to each side of the equation. 14 + -14 + 2t = 15 + -14 Combine like terms: 14 + -14 = 0 0 + 2t = 15 + -14 2t = 15 + -14 Combine like terms: 15 + -14 = 1 2t = 1 Divide each side by '2'. t = 0.5 Simplifying t = 0.5
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