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Simplifying 5r + -3 + r = 2r + 9 Reorder the terms: -3 + 5r + r = 2r + 9 Combine like terms: 5r + r = 6r -3 + 6r = 2r + 9 Reorder the terms: -3 + 6r = 9 + 2r Solving -3 + 6r = 9 + 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. -3 + 6r + -2r = 9 + 2r + -2r Combine like terms: 6r + -2r = 4r -3 + 4r = 9 + 2r + -2r Combine like terms: 2r + -2r = 0 -3 + 4r = 9 + 0 -3 + 4r = 9 Add '3' to each side of the equation. -3 + 3 + 4r = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 4r = 9 + 3 4r = 9 + 3 Combine like terms: 9 + 3 = 12 4r = 12 Divide each side by '4'. r = 3 Simplifying r = 3
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