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Simplifying w + 0.1r + w + -0.4r = 0 Reorder the terms: 0.1r + -0.4r + w + w = 0 Combine like terms: 0.1r + -0.4r = -0.3r -0.3r + w + w = 0 Combine like terms: w + w = 2w -0.3r + 2w = 0 Solving -0.3r + 2w = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2w' to each side of the equation. -0.3r + 2w + -2w = 0 + -2w Combine like terms: 2w + -2w = 0 -0.3r + 0 = 0 + -2w -0.3r = 0 + -2w Remove the zero: -0.3r = -2w Divide each side by '-0.3'. r = 6.666666667w Simplifying r = 6.666666667w
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