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Simplifying 3(5t + 3) = 2(3t + 18) Reorder the terms: 3(3 + 5t) = 2(3t + 18) (3 * 3 + 5t * 3) = 2(3t + 18) (9 + 15t) = 2(3t + 18) Reorder the terms: 9 + 15t = 2(18 + 3t) 9 + 15t = (18 * 2 + 3t * 2) 9 + 15t = (36 + 6t) Solving 9 + 15t = 36 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 9 + 15t + -6t = 36 + 6t + -6t Combine like terms: 15t + -6t = 9t 9 + 9t = 36 + 6t + -6t Combine like terms: 6t + -6t = 0 9 + 9t = 36 + 0 9 + 9t = 36 Add '-9' to each side of the equation. 9 + -9 + 9t = 36 + -9 Combine like terms: 9 + -9 = 0 0 + 9t = 36 + -9 9t = 36 + -9 Combine like terms: 36 + -9 = 27 9t = 27 Divide each side by '9'. t = 3 Simplifying t = 3
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