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Simplifying 0.5r + -0.16r + 3 = 2 + 0.16r + 1 Reorder the terms: 3 + 0.5r + -0.16r = 2 + 0.16r + 1 Combine like terms: 0.5r + -0.16r = 0.34r 3 + 0.34r = 2 + 0.16r + 1 Reorder the terms: 3 + 0.34r = 2 + 1 + 0.16r Combine like terms: 2 + 1 = 3 3 + 0.34r = 3 + 0.16r Add '-3' to each side of the equation. 3 + -3 + 0.34r = 3 + -3 + 0.16r Combine like terms: 3 + -3 = 0 0 + 0.34r = 3 + -3 + 0.16r 0.34r = 3 + -3 + 0.16r Combine like terms: 3 + -3 = 0 0.34r = 0 + 0.16r 0.34r = 0.16r Solving 0.34r = 0.16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.16r' to each side of the equation. 0.34r + -0.16r = 0.16r + -0.16r Combine like terms: 0.34r + -0.16r = 0.18r 0.18r = 0.16r + -0.16r Combine like terms: 0.16r + -0.16r = 0.00 0.18r = 0.00 Divide each side by '0.18'. r = 0 Simplifying r = 0
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