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Simplifying 2(5t + -2) + t = 20 + -1t Reorder the terms: 2(-2 + 5t) + t = 20 + -1t (-2 * 2 + 5t * 2) + t = 20 + -1t (-4 + 10t) + t = 20 + -1t Combine like terms: 10t + t = 11t -4 + 11t = 20 + -1t Solving -4 + 11t = 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. -4 + 11t + t = 20 + -1t + t Combine like terms: 11t + t = 12t -4 + 12t = 20 + -1t + t Combine like terms: -1t + t = 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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