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Simplifying 0.1r + -0.05 + 0.5r = -0.026 Reorder the terms: -0.05 + 0.1r + 0.5r = -0.026 Combine like terms: 0.1r + 0.5r = 0.6r -0.05 + 0.6r = -0.026 Solving -0.05 + 0.6r = -0.026 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.05' to each side of the equation. -0.05 + 0.05 + 0.6r = -0.026 + 0.05 Combine like terms: -0.05 + 0.05 = 0.00 0.00 + 0.6r = -0.026 + 0.05 0.6r = -0.026 + 0.05 Combine like terms: -0.026 + 0.05 = 0.024 0.6r = 0.024 Divide each side by '0.6'. r = 0.04 Simplifying r = 0.04
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