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Simplifying 5.4t + 14.6 + -10.6 + -10.1t = 12.8 + -3.5t + -0.6 Reorder the terms: 14.6 + -10.6 + 5.4t + -10.1t = 12.8 + -3.5t + -0.6 Combine like terms: 14.6 + -10.6 = 4 4 + 5.4t + -10.1t = 12.8 + -3.5t + -0.6 Combine like terms: 5.4t + -10.1t = -4.7t 4 + -4.7t = 12.8 + -3.5t + -0.6 Reorder the terms: 4 + -4.7t = 12.8 + -0.6 + -3.5t Combine like terms: 12.8 + -0.6 = 12.2 4 + -4.7t = 12.2 + -3.5t Solving 4 + -4.7t = 12.2 + -3.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.5t' to each side of the equation. 4 + -4.7t + 3.5t = 12.2 + -3.5t + 3.5t Combine like terms: -4.7t + 3.5t = -1.2t 4 + -1.2t = 12.2 + -3.5t + 3.5t Combine like terms: -3.5t + 3.5t = 0.0 4 + -1.2t = 12.2 + 0.0 4 + -1.2t = 12.2 Add '-4' to each side of the equation. 4 + -4 + -1.2t = 12.2 + -4 Combine like terms: 4 + -4 = 0 0 + -1.2t = 12.2 + -4 -1.2t = 12.2 + -4 Combine like terms: 12.2 + -4 = 8.2 -1.2t = 8.2 Divide each side by '-1.2'. t = -6.833333333 Simplifying t = -6.833333333
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