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Simplifying 2(5t + -25) + 5t = 80 Reorder the terms: 2(-25 + 5t) + 5t = 80 (-25 * 2 + 5t * 2) + 5t = 80 (-50 + 10t) + 5t = 80 Combine like terms: 10t + 5t = 15t -50 + 15t = 80 Solving -50 + 15t = 80 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 15t = 80 + 50 Combine like terms: -50 + 50 = 0 0 + 15t = 80 + 50 15t = 80 + 50 Combine like terms: 80 + 50 = 130 15t = 130 Divide each side by '15'. t = 8.666666667 Simplifying t = 8.666666667
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