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Simplifying 5(2t + -5) = 50 + -5t Reorder the terms: 5(-5 + 2t) = 50 + -5t (-5 * 5 + 2t * 5) = 50 + -5t (-25 + 10t) = 50 + -5t Solving -25 + 10t = 50 + -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. -25 + 10t + 5t = 50 + -5t + 5t Combine like terms: 10t + 5t = 15t -25 + 15t = 50 + -5t + 5t Combine like terms: -5t + 5t = 0 -25 + 15t = 50 + 0 -25 + 15t = 50 Add '25' to each side of the equation. -25 + 25 + 15t = 50 + 25 Combine like terms: -25 + 25 = 0 0 + 15t = 50 + 25 15t = 50 + 25 Combine like terms: 50 + 25 = 75 15t = 75 Divide each side by '15'. t = 5 Simplifying t = 5
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