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Simplifying -5t + -2(-5t + 10) = 100 Reorder the terms: -5t + -2(10 + -5t) = 100 -5t + (10 * -2 + -5t * -2) = 100 -5t + (-20 + 10t) = 100 Reorder the terms: -20 + -5t + 10t = 100 Combine like terms: -5t + 10t = 5t -20 + 5t = 100 Solving -20 + 5t = 100 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 5t = 100 + 20 Combine like terms: -20 + 20 = 0 0 + 5t = 100 + 20 5t = 100 + 20 Combine like terms: 100 + 20 = 120 5t = 120 Divide each side by '5'. t = 24 Simplifying t = 24
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