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Simplifying 6t + t = 0.5t + 6 Combine like terms: 6t + t = 7t 7t = 0.5t + 6 Reorder the terms: 7t = 6 + 0.5t Solving 7t = 6 + 0.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5t' to each side of the equation. 7t + -0.5t = 6 + 0.5t + -0.5t Combine like terms: 7t + -0.5t = 6.5t 6.5t = 6 + 0.5t + -0.5t Combine like terms: 0.5t + -0.5t = 0.0 6.5t = 6 + 0.0 6.5t = 6 Divide each side by '6.5'. t = 0.9230769231 Simplifying t = 0.9230769231
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