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Simplifying 5r + 6 = 9 + -4r Reorder the terms: 6 + 5r = 9 + -4r Solving 6 + 5r = 9 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 6 + 5r + 4r = 9 + -4r + 4r Combine like terms: 5r + 4r = 9r 6 + 9r = 9 + -4r + 4r Combine like terms: -4r + 4r = 0 6 + 9r = 9 + 0 6 + 9r = 9 Add '-6' to each side of the equation. 6 + -6 + 9r = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 9r = 9 + -6 9r = 9 + -6 Combine like terms: 9 + -6 = 3 9r = 3 Divide each side by '9'. r = 0.3333333333 Simplifying r = 0.3333333333
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