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Simplifying 5(2t + -4) = 40 + -5t Reorder the terms: 5(-4 + 2t) = 40 + -5t (-4 * 5 + 2t * 5) = 40 + -5t (-20 + 10t) = 40 + -5t Solving -20 + 10t = 40 + -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. -20 + 10t + 5t = 40 + -5t + 5t Combine like terms: 10t + 5t = 15t -20 + 15t = 40 + -5t + 5t Combine like terms: -5t + 5t = 0 -20 + 15t = 40 + 0 -20 + 15t = 40 Add '20' to each side of the equation. -20 + 20 + 15t = 40 + 20 Combine like terms: -20 + 20 = 0 0 + 15t = 40 + 20 15t = 40 + 20 Combine like terms: 40 + 20 = 60 15t = 60 Divide each side by '15'. t = 4 Simplifying t = 4
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