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Simplifying 5.7t + 2.8r + -7.8t + 6.4r = 0 Reorder the terms: 2.8r + 6.4r + 5.7t + -7.8t = 0 Combine like terms: 2.8r + 6.4r = 9.2r 9.2r + 5.7t + -7.8t = 0 Combine like terms: 5.7t + -7.8t = -2.1t 9.2r + -2.1t = 0 Solving 9.2r + -2.1t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2.1t' to each side of the equation. 9.2r + -2.1t + 2.1t = 0 + 2.1t Combine like terms: -2.1t + 2.1t = 0.0 9.2r + 0.0 = 0 + 2.1t 9.2r = 0 + 2.1t Remove the zero: 9.2r = 2.1t Divide each side by '9.2'. r = 0.2282608696t Simplifying r = 0.2282608696t
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