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Simplifying 3(2t + 5) = 5t + 25 Reorder the terms: 3(5 + 2t) = 5t + 25 (5 * 3 + 2t * 3) = 5t + 25 (15 + 6t) = 5t + 25 Reorder the terms: 15 + 6t = 25 + 5t Solving 15 + 6t = 25 + 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. 15 + 6t + -5t = 25 + 5t + -5t Combine like terms: 6t + -5t = 1t 15 + 1t = 25 + 5t + -5t Combine like terms: 5t + -5t = 0 15 + 1t = 25 + 0 15 + 1t = 25 Add '-15' to each side of the equation. 15 + -15 + 1t = 25 + -15 Combine like terms: 15 + -15 = 0 0 + 1t = 25 + -15 1t = 25 + -15 Combine like terms: 25 + -15 = 10 1t = 10 Divide each side by '1'. t = 10 Simplifying t = 10
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