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Simplifying 9.25t + 3 = 20.5t + 12 Reorder the terms: 3 + 9.25t = 20.5t + 12 Reorder the terms: 3 + 9.25t = 12 + 20.5t Solving 3 + 9.25t = 12 + 20.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20.5t' to each side of the equation. 3 + 9.25t + -20.5t = 12 + 20.5t + -20.5t Combine like terms: 9.25t + -20.5t = -11.25t 3 + -11.25t = 12 + 20.5t + -20.5t Combine like terms: 20.5t + -20.5t = 0.0 3 + -11.25t = 12 + 0.0 3 + -11.25t = 12 Add '-3' to each side of the equation. 3 + -3 + -11.25t = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -11.25t = 12 + -3 -11.25t = 12 + -3 Combine like terms: 12 + -3 = 9 -11.25t = 9 Divide each side by '-11.25'. t = -0.8 Simplifying t = -0.8
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