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Simplifying t + t + -25 + 3(t + -25) = 275 Reorder the terms: t + t + -25 + 3(-25 + t) = 275 t + t + -25 + (-25 * 3 + t * 3) = 275 t + t + -25 + (-75 + 3t) = 275 Reorder the terms: -25 + -75 + t + t + 3t = 275 Combine like terms: -25 + -75 = -100 -100 + t + t + 3t = 275 Combine like terms: t + t = 2t -100 + 2t + 3t = 275 Combine like terms: 2t + 3t = 5t -100 + 5t = 275 Solving -100 + 5t = 275 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + 5t = 275 + 100 Combine like terms: -100 + 100 = 0 0 + 5t = 275 + 100 5t = 275 + 100 Combine like terms: 275 + 100 = 375 5t = 375 Divide each side by '5'. t = 75 Simplifying t = 75
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