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Simplifying 7r + 3r + -8 = 9 + 2r Reorder the terms: -8 + 7r + 3r = 9 + 2r Combine like terms: 7r + 3r = 10r -8 + 10r = 9 + 2r Solving -8 + 10r = 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. -8 + 10r + -2r = 9 + 2r + -2r Combine like terms: 10r + -2r = 8r -8 + 8r = 9 + 2r + -2r Combine like terms: 2r + -2r = 0 -8 + 8r = 9 + 0 -8 + 8r = 9 Add '8' to each side of the equation. -8 + 8 + 8r = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 8r = 9 + 8 8r = 9 + 8 Combine like terms: 9 + 8 = 17 8r = 17 Divide each side by '8'. r = 2.125 Simplifying r = 2.125
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