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Simplifying 5(2t + 3) = 30 + -5t Reorder the terms: 5(3 + 2t) = 30 + -5t (3 * 5 + 2t * 5) = 30 + -5t (15 + 10t) = 30 + -5t Solving 15 + 10t = 30 + -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. 15 + 10t + 5t = 30 + -5t + 5t Combine like terms: 10t + 5t = 15t 15 + 15t = 30 + -5t + 5t Combine like terms: -5t + 5t = 0 15 + 15t = 30 + 0 15 + 15t = 30 Add '-15' to each side of the equation. 15 + -15 + 15t = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 15t = 30 + -15 15t = 30 + -15 Combine like terms: 30 + -15 = 15 15t = 15 Divide each side by '15'. t = 1 Simplifying t = 1
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