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Simplifying 3(0.3r + 1) = 23 + -0.1r Reorder the terms: 3(1 + 0.3r) = 23 + -0.1r (1 * 3 + 0.3r * 3) = 23 + -0.1r (3 + 0.9r) = 23 + -0.1r Solving 3 + 0.9r = 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. 3 + 0.9r + 0.1r = 23 + -0.1r + 0.1r Combine like terms: 0.9r + 0.1r = 1r 3 + 1r = 23 + -0.1r + 0.1r Combine like terms: -0.1r + 0.1r = 0.0 3 + 1r = 23 + 0.0 3 + 1r = 23 Add '-3' to each side of the equation. 3 + -3 + 1r = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 1r = 23 + -3 1r = 23 + -3 Combine like terms: 23 + -3 = 20 1r = 20 Divide each side by '1'. r = 20 Simplifying r = 20
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