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Simplifying 5(1 + t) = 2(10 + t) (1 * 5 + t * 5) = 2(10 + t) (5 + 5t) = 2(10 + t) 5 + 5t = (10 * 2 + t * 2) 5 + 5t = (20 + 2t) Solving 5 + 5t = 20 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 5 + 5t + -2t = 20 + 2t + -2t Combine like terms: 5t + -2t = 3t 5 + 3t = 20 + 2t + -2t Combine like terms: 2t + -2t = 0 5 + 3t = 20 + 0 5 + 3t = 20 Add '-5' to each side of the equation. 5 + -5 + 3t = 20 + -5 Combine like terms: 5 + -5 = 0 0 + 3t = 20 + -5 3t = 20 + -5 Combine like terms: 20 + -5 = 15 3t = 15 Divide each side by '3'. t = 5 Simplifying t = 5
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