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Simplifying 3(2t + 1) = 5t + 17 Reorder the terms: 3(1 + 2t) = 5t + 17 (1 * 3 + 2t * 3) = 5t + 17 (3 + 6t) = 5t + 17 Reorder the terms: 3 + 6t = 17 + 5t Solving 3 + 6t = 17 + 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. 3 + 6t + -5t = 17 + 5t + -5t Combine like terms: 6t + -5t = 1t 3 + 1t = 17 + 5t + -5t Combine like terms: 5t + -5t = 0 3 + 1t = 17 + 0 3 + 1t = 17 Add '-3' to each side of the equation. 3 + -3 + 1t = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 1t = 17 + -3 1t = 17 + -3 Combine like terms: 17 + -3 = 14 1t = 14 Divide each side by '1'. t = 14 Simplifying t = 14
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