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Simplifying 5.25t + 8 = 16.5t + 17 Reorder the terms: 8 + 5.25t = 16.5t + 17 Reorder the terms: 8 + 5.25t = 17 + 16.5t Solving 8 + 5.25t = 17 + 16.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16.5t' to each side of the equation. 8 + 5.25t + -16.5t = 17 + 16.5t + -16.5t Combine like terms: 5.25t + -16.5t = -11.25t 8 + -11.25t = 17 + 16.5t + -16.5t Combine like terms: 16.5t + -16.5t = 0.0 8 + -11.25t = 17 + 0.0 8 + -11.25t = 17 Add '-8' to each side of the equation. 8 + -8 + -11.25t = 17 + -8 Combine like terms: 8 + -8 = 0 0 + -11.25t = 17 + -8 -11.25t = 17 + -8 Combine like terms: 17 + -8 = 9 -11.25t = 9 Divide each side by '-11.25'. t = -0.8 Simplifying t = -0.8
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