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