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Simplifying 5.3t + 5.7 = 5.5t + 5.3 Reorder the terms: 5.7 + 5.3t = 5.5t + 5.3 Reorder the terms: 5.7 + 5.3t = 5.3 + 5.5t Solving 5.7 + 5.3t = 5.3 + 5.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5.5t' to each side of the equation. 5.7 + 5.3t + -5.5t = 5.3 + 5.5t + -5.5t Combine like terms: 5.3t + -5.5t = -0.2t 5.7 + -0.2t = 5.3 + 5.5t + -5.5t Combine like terms: 5.5t + -5.5t = 0.0 5.7 + -0.2t = 5.3 + 0.0 5.7 + -0.2t = 5.3 Add '-5.7' to each side of the equation. 5.7 + -5.7 + -0.2t = 5.3 + -5.7 Combine like terms: 5.7 + -5.7 = 0.0 0.0 + -0.2t = 5.3 + -5.7 -0.2t = 5.3 + -5.7 Combine like terms: 5.3 + -5.7 = -0.4 -0.2t = -0.4 Divide each side by '-0.2'. t = 2 Simplifying t = 2
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