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Simplifying 4.7t + 1.4 = 5.2t + 6.4 Reorder the terms: 1.4 + 4.7t = 5.2t + 6.4 Reorder the terms: 1.4 + 4.7t = 6.4 + 5.2t Solving 1.4 + 4.7t = 6.4 + 5.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5.2t' to each side of the equation. 1.4 + 4.7t + -5.2t = 6.4 + 5.2t + -5.2t Combine like terms: 4.7t + -5.2t = -0.5t 1.4 + -0.5t = 6.4 + 5.2t + -5.2t Combine like terms: 5.2t + -5.2t = 0.0 1.4 + -0.5t = 6.4 + 0.0 1.4 + -0.5t = 6.4 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -0.5t = 6.4 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -0.5t = 6.4 + -1.4 -0.5t = 6.4 + -1.4 Combine like terms: 6.4 + -1.4 = 5 -0.5t = 5 Divide each side by '-0.5'. t = -10 Simplifying t = -10
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