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Simplifying 2(2t + -5) + t = 2 + -1t Reorder the terms: 2(-5 + 2t) + t = 2 + -1t (-5 * 2 + 2t * 2) + t = 2 + -1t (-10 + 4t) + t = 2 + -1t Combine like terms: 4t + t = 5t -10 + 5t = 2 + -1t Solving -10 + 5t = 2 + -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 + 5t + t = 2 + -1t + t Combine like terms: 5t + t = 6t -10 + 6t = 2 + -1t + t Combine like terms: -1t + t = 0 -10 + 6t = 2 + 0 -10 + 6t = 2 Add '10' to each side of the equation. -10 + 10 + 6t = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 6t = 2 + 10 6t = 2 + 10 Combine like terms: 2 + 10 = 12 6t = 12 Divide each side by '6'. t = 2 Simplifying t = 2
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