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Simplifying 5.4x + 14.6 + -10.1t = 12.8 + -3.5x + -0.6 Reorder the terms: 14.6 + -10.1t + 5.4x = 12.8 + -3.5x + -0.6 Reorder the terms: 14.6 + -10.1t + 5.4x = 12.8 + -0.6 + -3.5x Combine like terms: 12.8 + -0.6 = 12.2 14.6 + -10.1t + 5.4x = 12.2 + -3.5x Solving 14.6 + -10.1t + 5.4x = 12.2 + -3.5x 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 + -10.1t + -14.6 + 5.4x = 12.2 + -14.6 + -3.5x Reorder the terms: 14.6 + -14.6 + -10.1t + 5.4x = 12.2 + -14.6 + -3.5x Combine like terms: 14.6 + -14.6 = 0.0 0.0 + -10.1t + 5.4x = 12.2 + -14.6 + -3.5x -10.1t + 5.4x = 12.2 + -14.6 + -3.5x Combine like terms: 12.2 + -14.6 = -2.4 -10.1t + 5.4x = -2.4 + -3.5x Add '-5.4x' to each side of the equation. -10.1t + 5.4x + -5.4x = -2.4 + -3.5x + -5.4x Combine like terms: 5.4x + -5.4x = 0.0 -10.1t + 0.0 = -2.4 + -3.5x + -5.4x -10.1t = -2.4 + -3.5x + -5.4x Combine like terms: -3.5x + -5.4x = -8.9x -10.1t = -2.4 + -8.9x Divide each side by '-10.1'. t = 0.2376237624 + 0.8811881188x Simplifying t = 0.2376237624 + 0.8811881188x
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