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Simplifying 5.4t + 14.6 + -10.1t = 12.8 + -35t + -0.6 Reorder the terms: 14.6 + 5.4t + -10.1t = 12.8 + -35t + -0.6 Combine like terms: 5.4t + -10.1t = -4.7t 14.6 + -4.7t = 12.8 + -35t + -0.6 Reorder the terms: 14.6 + -4.7t = 12.8 + -0.6 + -35t Combine like terms: 12.8 + -0.6 = 12.2 14.6 + -4.7t = 12.2 + -35t Solving 14.6 + -4.7t = 12.2 + -35t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '35t' to each side of the equation. 14.6 + -4.7t + 35t = 12.2 + -35t + 35t Combine like terms: -4.7t + 35t = 30.3t 14.6 + 30.3t = 12.2 + -35t + 35t Combine like terms: -35t + 35t = 0 14.6 + 30.3t = 12.2 + 0 14.6 + 30.3t = 12.2 Add '-14.6' to each side of the equation. 14.6 + -14.6 + 30.3t = 12.2 + -14.6 Combine like terms: 14.6 + -14.6 = 0.0 0.0 + 30.3t = 12.2 + -14.6 30.3t = 12.2 + -14.6 Combine like terms: 12.2 + -14.6 = -2.4 30.3t = -2.4 Divide each side by '30.3'. t = -0.07920792079 Simplifying t = -0.07920792079
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