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Simplifying 1.1r + 0.31s + 0.5r + 6.3s = 0 Reorder the terms: 1.1r + 0.5r + 0.31s + 6.3s = 0 Combine like terms: 1.1r + 0.5r = 1.6r 1.6r + 0.31s + 6.3s = 0 Combine like terms: 0.31s + 6.3s = 6.61s 1.6r + 6.61s = 0 Solving 1.6r + 6.61s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6.61s' to each side of the equation. 1.6r + 6.61s + -6.61s = 0 + -6.61s Combine like terms: 6.61s + -6.61s = 0.00 1.6r + 0.00 = 0 + -6.61s 1.6r = 0 + -6.61s Remove the zero: 1.6r = -6.61s Divide each side by '1.6'. r = -4.13125s Simplifying r = -4.13125s
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