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Simplifying 8.25t + 4 = 19.5t + 13 Reorder the terms: 4 + 8.25t = 19.5t + 13 Reorder the terms: 4 + 8.25t = 13 + 19.5t Solving 4 + 8.25t = 13 + 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. 4 + 8.25t + -19.5t = 13 + 19.5t + -19.5t Combine like terms: 8.25t + -19.5t = -11.25t 4 + -11.25t = 13 + 19.5t + -19.5t Combine like terms: 19.5t + -19.5t = 0.0 4 + -11.25t = 13 + 0.0 4 + -11.25t = 13 Add '-4' to each side of the equation. 4 + -4 + -11.25t = 13 + -4 Combine like terms: 4 + -4 = 0 0 + -11.25t = 13 + -4 -11.25t = 13 + -4 Combine like terms: 13 + -4 = 9 -11.25t = 9 Divide each side by '-11.25'. t = -0.8 Simplifying t = -0.8
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