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Simplifying 0.5t + 9.1 = 6.7 + -0.3t Reorder the terms: 9.1 + 0.5t = 6.7 + -0.3t Solving 9.1 + 0.5t = 6.7 + -0.3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.3t' to each side of the equation. 9.1 + 0.5t + 0.3t = 6.7 + -0.3t + 0.3t Combine like terms: 0.5t + 0.3t = 0.8t 9.1 + 0.8t = 6.7 + -0.3t + 0.3t Combine like terms: -0.3t + 0.3t = 0.0 9.1 + 0.8t = 6.7 + 0.0 9.1 + 0.8t = 6.7 Add '-9.1' to each side of the equation. 9.1 + -9.1 + 0.8t = 6.7 + -9.1 Combine like terms: 9.1 + -9.1 = 0.0 0.0 + 0.8t = 6.7 + -9.1 0.8t = 6.7 + -9.1 Combine like terms: 6.7 + -9.1 = -2.4 0.8t = -2.4 Divide each side by '0.8'. t = -3 Simplifying t = -3
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