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Simplifying 5.4t + 14.6 + -10.1t = 12.8 + -0.6 Reorder the terms: 14.6 + 5.4t + -10.1t = 12.8 + -0.6 Combine like terms: 5.4t + -10.1t = -4.7t 14.6 + -4.7t = 12.8 + -0.6 Combine like terms: 12.8 + -0.6 = 12.2 14.6 + -4.7t = 12.2 Solving 14.6 + -4.7t = 12.2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14.6' to each side of the equation. 14.6 + -14.6 + -4.7t = 12.2 + -14.6 Combine like terms: 14.6 + -14.6 = 0.0 0.0 + -4.7t = 12.2 + -14.6 -4.7t = 12.2 + -14.6 Combine like terms: 12.2 + -14.6 = -2.4 -4.7t = -2.4 Divide each side by '-4.7'. t = 0.5106382979 Simplifying t = 0.5106382979
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