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Simplifying 2(5t + -2) = 20 + -2t Reorder the terms: 2(-2 + 5t) = 20 + -2t (-2 * 2 + 5t * 2) = 20 + -2t (-4 + 10t) = 20 + -2t Solving -4 + 10t = 20 + -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. -4 + 10t + 2t = 20 + -2t + 2t Combine like terms: 10t + 2t = 12t -4 + 12t = 20 + -2t + 2t Combine like terms: -2t + 2t = 0 -4 + 12t = 20 + 0 -4 + 12t = 20 Add '4' to each side of the equation. -4 + 4 + 12t = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 12t = 20 + 4 12t = 20 + 4 Combine like terms: 20 + 4 = 24 12t = 24 Divide each side by '12'. t = 2 Simplifying t = 2
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