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Simplifying 0.33r + 4 = 1.33r + 9 Reorder the terms: 4 + 0.33r = 1.33r + 9 Reorder the terms: 4 + 0.33r = 9 + 1.33r Solving 4 + 0.33r = 9 + 1.33r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.33r' to each side of the equation. 4 + 0.33r + -1.33r = 9 + 1.33r + -1.33r Combine like terms: 0.33r + -1.33r = -1r 4 + -1r = 9 + 1.33r + -1.33r Combine like terms: 1.33r + -1.33r = 0.00 4 + -1r = 9 + 0.00 4 + -1r = 9 Add '-4' to each side of the equation. 4 + -4 + -1r = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 9 + -4 -1r = 9 + -4 Combine like terms: 9 + -4 = 5 -1r = 5 Divide each side by '-1'. r = -5 Simplifying r = -5
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