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Simplifying 3(5t + 6) = 4(6t + 5) Reorder the terms: 3(6 + 5t) = 4(6t + 5) (6 * 3 + 5t * 3) = 4(6t + 5) (18 + 15t) = 4(6t + 5) Reorder the terms: 18 + 15t = 4(5 + 6t) 18 + 15t = (5 * 4 + 6t * 4) 18 + 15t = (20 + 24t) Solving 18 + 15t = 20 + 24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24t' to each side of the equation. 18 + 15t + -24t = 20 + 24t + -24t Combine like terms: 15t + -24t = -9t 18 + -9t = 20 + 24t + -24t Combine like terms: 24t + -24t = 0 18 + -9t = 20 + 0 18 + -9t = 20 Add '-18' to each side of the equation. 18 + -18 + -9t = 20 + -18 Combine like terms: 18 + -18 = 0 0 + -9t = 20 + -18 -9t = 20 + -18 Combine like terms: 20 + -18 = 2 -9t = 2 Divide each side by '-9'. t = -0.2222222222 Simplifying t = -0.2222222222
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