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Simplifying 2(0.3r + 1) = 23 + -0.1r Reorder the terms: 2(1 + 0.3r) = 23 + -0.1r (1 * 2 + 0.3r * 2) = 23 + -0.1r (2 + 0.6r) = 23 + -0.1r Solving 2 + 0.6r = 23 + -0.1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.1r' to each side of the equation. 2 + 0.6r + 0.1r = 23 + -0.1r + 0.1r Combine like terms: 0.6r + 0.1r = 0.7r 2 + 0.7r = 23 + -0.1r + 0.1r Combine like terms: -0.1r + 0.1r = 0.0 2 + 0.7r = 23 + 0.0 2 + 0.7r = 23 Add '-2' to each side of the equation. 2 + -2 + 0.7r = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 0.7r = 23 + -2 0.7r = 23 + -2 Combine like terms: 23 + -2 = 21 0.7r = 21 Divide each side by '0.7'. r = 30 Simplifying r = 30
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