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Simplifying 2(5t + -5) = 10 + -2t Reorder the terms: 2(-5 + 5t) = 10 + -2t (-5 * 2 + 5t * 2) = 10 + -2t (-10 + 10t) = 10 + -2t Solving -10 + 10t = 10 + -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 + 10t + 2t = 10 + -2t + 2t Combine like terms: 10t + 2t = 12t -10 + 12t = 10 + -2t + 2t Combine like terms: -2t + 2t = 0 -10 + 12t = 10 + 0 -10 + 12t = 10 Add '10' to each side of the equation. -10 + 10 + 12t = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 12t = 10 + 10 12t = 10 + 10 Combine like terms: 10 + 10 = 20 12t = 20 Divide each side by '12'. t = 1.666666667 Simplifying t = 1.666666667
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