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Simplifying 2(2t + -5) + -1t = 20 + -1t Reorder the terms: 2(-5 + 2t) + -1t = 20 + -1t (-5 * 2 + 2t * 2) + -1t = 20 + -1t (-10 + 4t) + -1t = 20 + -1t Combine like terms: 4t + -1t = 3t -10 + 3t = 20 + -1t Solving -10 + 3t = 20 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -10 + 3t + t = 20 + -1t + t Combine like terms: 3t + t = 4t -10 + 4t = 20 + -1t + t Combine like terms: -1t + t = 0 -10 + 4t = 20 + 0 -10 + 4t = 20 Add '10' to each side of the equation. -10 + 10 + 4t = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 4t = 20 + 10 4t = 20 + 10 Combine like terms: 20 + 10 = 30 4t = 30 Divide each side by '4'. t = 7.5 Simplifying t = 7.5
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