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Simplifying 0.16(12 + -6r) = 5r + -6 (12 * 0.16 + -6r * 0.16) = 5r + -6 (1.92 + -0.96r) = 5r + -6 Reorder the terms: 1.92 + -0.96r = -6 + 5r Solving 1.92 + -0.96r = -6 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 1.92 + -0.96r + -5r = -6 + 5r + -5r Combine like terms: -0.96r + -5r = -5.96r 1.92 + -5.96r = -6 + 5r + -5r Combine like terms: 5r + -5r = 0 1.92 + -5.96r = -6 + 0 1.92 + -5.96r = -6 Add '-1.92' to each side of the equation. 1.92 + -1.92 + -5.96r = -6 + -1.92 Combine like terms: 1.92 + -1.92 = 0.00 0.00 + -5.96r = -6 + -1.92 -5.96r = -6 + -1.92 Combine like terms: -6 + -1.92 = -7.92 -5.96r = -7.92 Divide each side by '-5.96'. r = 1.32885906 Simplifying r = 1.32885906
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