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Simplifying 5.4t + 14.6 + -10.1t = 12.8h + -3.5t + -0.6 Reorder the terms: 14.6 + 5.4t + -10.1t = 12.8h + -3.5t + -0.6 Combine like terms: 5.4t + -10.1t = -4.7t 14.6 + -4.7t = 12.8h + -3.5t + -0.6 Reorder the terms: 14.6 + -4.7t = -0.6 + 12.8h + -3.5t Solving 14.6 + -4.7t = -0.6 + 12.8h + -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. 14.6 + -4.7t + 3.5t = -0.6 + 12.8h + -3.5t + 3.5t Combine like terms: -4.7t + 3.5t = -1.2t 14.6 + -1.2t = -0.6 + 12.8h + -3.5t + 3.5t Combine like terms: -3.5t + 3.5t = 0.0 14.6 + -1.2t = -0.6 + 12.8h + 0.0 14.6 + -1.2t = -0.6 + 12.8h Add '-14.6' to each side of the equation. 14.6 + -14.6 + -1.2t = -0.6 + -14.6 + 12.8h Combine like terms: 14.6 + -14.6 = 0.0 0.0 + -1.2t = -0.6 + -14.6 + 12.8h -1.2t = -0.6 + -14.6 + 12.8h Combine like terms: -0.6 + -14.6 = -15.2 -1.2t = -15.2 + 12.8h Divide each side by '-1.2'. t = 12.66666667 + -10.66666667h Simplifying t = 12.66666667 + -10.66666667h
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