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Simplifying 2(4t + -5) = 40 + -2t Reorder the terms: 2(-5 + 4t) = 40 + -2t (-5 * 2 + 4t * 2) = 40 + -2t (-10 + 8t) = 40 + -2t Solving -10 + 8t = 40 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -10 + 8t + 2t = 40 + -2t + 2t Combine like terms: 8t + 2t = 10t -10 + 10t = 40 + -2t + 2t Combine like terms: -2t + 2t = 0 -10 + 10t = 40 + 0 -10 + 10t = 40 Add '10' to each side of the equation. -10 + 10 + 10t = 40 + 10 Combine like terms: -10 + 10 = 0 0 + 10t = 40 + 10 10t = 40 + 10 Combine like terms: 40 + 10 = 50 10t = 50 Divide each side by '10'. t = 5 Simplifying t = 5
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