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Simplifying 6r + -9 = 2r + 11 Reorder the terms: -9 + 6r = 2r + 11 Reorder the terms: -9 + 6r = 11 + 2r Solving -9 + 6r = 11 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -9 + 6r + -2r = 11 + 2r + -2r Combine like terms: 6r + -2r = 4r -9 + 4r = 11 + 2r + -2r Combine like terms: 2r + -2r = 0 -9 + 4r = 11 + 0 -9 + 4r = 11 Add '9' to each side of the equation. -9 + 9 + 4r = 11 + 9 Combine like terms: -9 + 9 = 0 0 + 4r = 11 + 9 4r = 11 + 9 Combine like terms: 11 + 9 = 20 4r = 20 Divide each side by '4'. r = 5 Simplifying r = 5
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