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Simplifying 5.4t + 14.6 + -10.1r = 12.8 + -3.5t + -0.6 Reorder the terms: 14.6 + -10.1r + 5.4t = 12.8 + -3.5t + -0.6 Reorder the terms: 14.6 + -10.1r + 5.4t = 12.8 + -0.6 + -3.5t Combine like terms: 12.8 + -0.6 = 12.2 14.6 + -10.1r + 5.4t = 12.2 + -3.5t Solving 14.6 + -10.1r + 5.4t = 12.2 + -3.5t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14.6' to each side of the equation. 14.6 + -10.1r + -14.6 + 5.4t = 12.2 + -14.6 + -3.5t Reorder the terms: 14.6 + -14.6 + -10.1r + 5.4t = 12.2 + -14.6 + -3.5t Combine like terms: 14.6 + -14.6 = 0.0 0.0 + -10.1r + 5.4t = 12.2 + -14.6 + -3.5t -10.1r + 5.4t = 12.2 + -14.6 + -3.5t Combine like terms: 12.2 + -14.6 = -2.4 -10.1r + 5.4t = -2.4 + -3.5t Add '-5.4t' to each side of the equation. -10.1r + 5.4t + -5.4t = -2.4 + -3.5t + -5.4t Combine like terms: 5.4t + -5.4t = 0.0 -10.1r + 0.0 = -2.4 + -3.5t + -5.4t -10.1r = -2.4 + -3.5t + -5.4t Combine like terms: -3.5t + -5.4t = -8.9t -10.1r = -2.4 + -8.9t Divide each side by '-10.1'. r = 0.2376237624 + 0.8811881188t Simplifying r = 0.2376237624 + 0.8811881188t
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