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Simplifying (t * 4.5) + ((t + 10) * 4.5) = 495 Reorder the terms for easier multiplication: (4.5t) + ((t + 10) * 4.5) = 495 Reorder the terms: (4.5t) + ((10 + t) * 4.5) = 495 Reorder the terms for easier multiplication: (4.5t) + (4.5(10 + t)) = 495 (4.5t) + ((10 * 4.5 + t * 4.5)) = 495 (4.5t) + ((45 + 4.5t)) = 495 (4.5t) + (45 + 4.5t) = 495 Remove parenthesis around (45 + 4.5t) (4.5t) + 45 + 4.5t = 495 Reorder the terms: 45 + (4.5t) + 4.5t = 495 Combine like terms: (4.5t) + 4.5t = 9t 45 + 9t = 495 Solving 45 + 9t = 495 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 9t = 495 + -45 Combine like terms: 45 + -45 = 0 0 + 9t = 495 + -45 9t = 495 + -45 Combine like terms: 495 + -45 = 450 9t = 450 Divide each side by '9'. t = 50 Simplifying t = 50
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