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Simplifying 17t + 5(2 + -3t) = 18 17t + (2 * 5 + -3t * 5) = 18 17t + (10 + -15t) = 18 Reorder the terms: 10 + 17t + -15t = 18 Combine like terms: 17t + -15t = 2t 10 + 2t = 18 Solving 10 + 2t = 18 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2t = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 2t = 18 + -10 2t = 18 + -10 Combine like terms: 18 + -10 = 8 2t = 8 Divide each side by '2'. t = 4 Simplifying t = 4
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