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Simplifying 2(2t + -5) + t = 20 + -2t Reorder the terms: 2(-5 + 2t) + t = 20 + -2t (-5 * 2 + 2t * 2) + t = 20 + -2t (-10 + 4t) + t = 20 + -2t Combine like terms: 4t + t = 5t -10 + 5t = 20 + -2t Solving -10 + 5t = 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. -10 + 5t + 2t = 20 + -2t + 2t Combine like terms: 5t + 2t = 7t -10 + 7t = 20 + -2t + 2t Combine like terms: -2t + 2t = 0 -10 + 7t = 20 + 0 -10 + 7t = 20 Add '10' to each side of the equation. -10 + 10 + 7t = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 7t = 20 + 10 7t = 20 + 10 Combine like terms: 20 + 10 = 30 7t = 30 Divide each side by '7'. t = 4.285714286 Simplifying t = 4.285714286
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