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Simplifying 3(3t + 8) = 3(5t + 8) Reorder the terms: 3(8 + 3t) = 3(5t + 8) (8 * 3 + 3t * 3) = 3(5t + 8) (24 + 9t) = 3(5t + 8) Reorder the terms: 24 + 9t = 3(8 + 5t) 24 + 9t = (8 * 3 + 5t * 3) 24 + 9t = (24 + 15t) Add '-24' to each side of the equation. 24 + -24 + 9t = 24 + -24 + 15t Combine like terms: 24 + -24 = 0 0 + 9t = 24 + -24 + 15t 9t = 24 + -24 + 15t Combine like terms: 24 + -24 = 0 9t = 0 + 15t 9t = 15t Solving 9t = 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. 9t + -15t = 15t + -15t Combine like terms: 9t + -15t = -6t -6t = 15t + -15t Combine like terms: 15t + -15t = 0 -6t = 0 Divide each side by '-6'. t = 0 Simplifying t = 0
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