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Simplifying 5r + -9 + 2r = 3r + 7 + -4r Reorder the terms: -9 + 5r + 2r = 3r + 7 + -4r Combine like terms: 5r + 2r = 7r -9 + 7r = 3r + 7 + -4r Reorder the terms: -9 + 7r = 7 + 3r + -4r Combine like terms: 3r + -4r = -1r -9 + 7r = 7 + -1r Solving -9 + 7r = 7 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -9 + 7r + r = 7 + -1r + r Combine like terms: 7r + r = 8r -9 + 8r = 7 + -1r + r Combine like terms: -1r + r = 0 -9 + 8r = 7 + 0 -9 + 8r = 7 Add '9' to each side of the equation. -9 + 9 + 8r = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 8r = 7 + 9 8r = 7 + 9 Combine like terms: 7 + 9 = 16 8r = 16 Divide each side by '8'. r = 2 Simplifying r = 2
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