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Simplifying 2.25t + 100 = 13.5t + 280 Reorder the terms: 100 + 2.25t = 13.5t + 280 Reorder the terms: 100 + 2.25t = 280 + 13.5t Solving 100 + 2.25t = 280 + 13.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13.5t' to each side of the equation. 100 + 2.25t + -13.5t = 280 + 13.5t + -13.5t Combine like terms: 2.25t + -13.5t = -11.25t 100 + -11.25t = 280 + 13.5t + -13.5t Combine like terms: 13.5t + -13.5t = 0.0 100 + -11.25t = 280 + 0.0 100 + -11.25t = 280 Add '-100' to each side of the equation. 100 + -100 + -11.25t = 280 + -100 Combine like terms: 100 + -100 = 0 0 + -11.25t = 280 + -100 -11.25t = 280 + -100 Combine like terms: 280 + -100 = 180 -11.25t = 180 Divide each side by '-11.25'. t = -16 Simplifying t = -16
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