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Simplifying 8.25t + 2 = 19.5t + 11 Reorder the terms: 2 + 8.25t = 19.5t + 11 Reorder the terms: 2 + 8.25t = 11 + 19.5t Solving 2 + 8.25t = 11 + 19.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19.5t' to each side of the equation. 2 + 8.25t + -19.5t = 11 + 19.5t + -19.5t Combine like terms: 8.25t + -19.5t = -11.25t 2 + -11.25t = 11 + 19.5t + -19.5t Combine like terms: 19.5t + -19.5t = 0.0 2 + -11.25t = 11 + 0.0 2 + -11.25t = 11 Add '-2' to each side of the equation. 2 + -2 + -11.25t = 11 + -2 Combine like terms: 2 + -2 = 0 0 + -11.25t = 11 + -2 -11.25t = 11 + -2 Combine like terms: 11 + -2 = 9 -11.25t = 9 Divide each side by '-11.25'. t = -0.8 Simplifying t = -0.8
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