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Simplifying 8.25t + 8 = 14.5t + 13 Reorder the terms: 8 + 8.25t = 14.5t + 13 Reorder the terms: 8 + 8.25t = 13 + 14.5t Solving 8 + 8.25t = 13 + 14.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14.5t' to each side of the equation. 8 + 8.25t + -14.5t = 13 + 14.5t + -14.5t Combine like terms: 8.25t + -14.5t = -6.25t 8 + -6.25t = 13 + 14.5t + -14.5t Combine like terms: 14.5t + -14.5t = 0.0 8 + -6.25t = 13 + 0.0 8 + -6.25t = 13 Add '-8' to each side of the equation. 8 + -8 + -6.25t = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -6.25t = 13 + -8 -6.25t = 13 + -8 Combine like terms: 13 + -8 = 5 -6.25t = 5 Divide each side by '-6.25'. t = -0.8 Simplifying t = -0.8
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