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Simplifying 6.8r + 2(r + -3.1) = 0.3r + 32.9 Reorder the terms: 6.8r + 2(-3.1 + r) = 0.3r + 32.9 6.8r + (-3.1 * 2 + r * 2) = 0.3r + 32.9 6.8r + (-6.2 + 2r) = 0.3r + 32.9 Reorder the terms: -6.2 + 6.8r + 2r = 0.3r + 32.9 Combine like terms: 6.8r + 2r = 8.8r -6.2 + 8.8r = 0.3r + 32.9 Reorder the terms: -6.2 + 8.8r = 32.9 + 0.3r Solving -6.2 + 8.8r = 32.9 + 0.3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.3r' to each side of the equation. -6.2 + 8.8r + -0.3r = 32.9 + 0.3r + -0.3r Combine like terms: 8.8r + -0.3r = 8.5r -6.2 + 8.5r = 32.9 + 0.3r + -0.3r Combine like terms: 0.3r + -0.3r = 0.0 -6.2 + 8.5r = 32.9 + 0.0 -6.2 + 8.5r = 32.9 Add '6.2' to each side of the equation. -6.2 + 6.2 + 8.5r = 32.9 + 6.2 Combine like terms: -6.2 + 6.2 = 0.0 0.0 + 8.5r = 32.9 + 6.2 8.5r = 32.9 + 6.2 Combine like terms: 32.9 + 6.2 = 39.1 8.5r = 39.1 Divide each side by '8.5'. r = 4.6 Simplifying r = 4.6
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