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Simplifying 0.5r + -0.17r + 3 = 2 + 0.17r + 1 Reorder the terms: 3 + 0.5r + -0.17r = 2 + 0.17r + 1 Combine like terms: 0.5r + -0.17r = 0.33r 3 + 0.33r = 2 + 0.17r + 1 Reorder the terms: 3 + 0.33r = 2 + 1 + 0.17r Combine like terms: 2 + 1 = 3 3 + 0.33r = 3 + 0.17r Add '-3' to each side of the equation. 3 + -3 + 0.33r = 3 + -3 + 0.17r Combine like terms: 3 + -3 = 0 0 + 0.33r = 3 + -3 + 0.17r 0.33r = 3 + -3 + 0.17r Combine like terms: 3 + -3 = 0 0.33r = 0 + 0.17r 0.33r = 0.17r Solving 0.33r = 0.17r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.17r' to each side of the equation. 0.33r + -0.17r = 0.17r + -0.17r Combine like terms: 0.33r + -0.17r = 0.16r 0.16r = 0.17r + -0.17r Combine like terms: 0.17r + -0.17r = 0.00 0.16r = 0.00 Divide each side by '0.16'. r = 0 Simplifying r = 0
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