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Simplifying 5(t + 2) = 3(t + 8) Reorder the terms: 5(2 + t) = 3(t + 8) (2 * 5 + t * 5) = 3(t + 8) (10 + 5t) = 3(t + 8) Reorder the terms: 10 + 5t = 3(8 + t) 10 + 5t = (8 * 3 + t * 3) 10 + 5t = (24 + 3t) Solving 10 + 5t = 24 + 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. 10 + 5t + -3t = 24 + 3t + -3t Combine like terms: 5t + -3t = 2t 10 + 2t = 24 + 3t + -3t Combine like terms: 3t + -3t = 0 10 + 2t = 24 + 0 10 + 2t = 24 Add '-10' to each side of the equation. 10 + -10 + 2t = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 2t = 24 + -10 2t = 24 + -10 Combine like terms: 24 + -10 = 14 2t = 14 Divide each side by '2'. t = 7 Simplifying t = 7
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