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Simplifying 6.25t + 9 = 12.5t + 14 Reorder the terms: 9 + 6.25t = 12.5t + 14 Reorder the terms: 9 + 6.25t = 14 + 12.5t Solving 9 + 6.25t = 14 + 12.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12.5t' to each side of the equation. 9 + 6.25t + -12.5t = 14 + 12.5t + -12.5t Combine like terms: 6.25t + -12.5t = -6.25t 9 + -6.25t = 14 + 12.5t + -12.5t Combine like terms: 12.5t + -12.5t = 0.0 9 + -6.25t = 14 + 0.0 9 + -6.25t = 14 Add '-9' to each side of the equation. 9 + -9 + -6.25t = 14 + -9 Combine like terms: 9 + -9 = 0 0 + -6.25t = 14 + -9 -6.25t = 14 + -9 Combine like terms: 14 + -9 = 5 -6.25t = 5 Divide each side by '-6.25'. t = -0.8 Simplifying t = -0.8
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