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Simplifying 6.8 + 2(r + -3.1) = 0.3r + 32.9 Reorder the terms: 6.8 + 2(-3.1 + r) = 0.3r + 32.9 6.8 + (-3.1 * 2 + r * 2) = 0.3r + 32.9 6.8 + (-6.2 + 2r) = 0.3r + 32.9 Combine like terms: 6.8 + -6.2 = 0.6 0.6 + 2r = 0.3r + 32.9 Reorder the terms: 0.6 + 2r = 32.9 + 0.3r Solving 0.6 + 2r = 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. 0.6 + 2r + -0.3r = 32.9 + 0.3r + -0.3r Combine like terms: 2r + -0.3r = 1.7r 0.6 + 1.7r = 32.9 + 0.3r + -0.3r Combine like terms: 0.3r + -0.3r = 0.0 0.6 + 1.7r = 32.9 + 0.0 0.6 + 1.7r = 32.9 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 1.7r = 32.9 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 1.7r = 32.9 + -0.6 1.7r = 32.9 + -0.6 Combine like terms: 32.9 + -0.6 = 32.3 1.7r = 32.3 Divide each side by '1.7'. r = 19 Simplifying r = 19
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