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Simplifying 3r + -9 = 10 + -8r + 3 Reorder the terms: -9 + 3r = 10 + -8r + 3 Reorder the terms: -9 + 3r = 10 + 3 + -8r Combine like terms: 10 + 3 = 13 -9 + 3r = 13 + -8r Solving -9 + 3r = 13 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -9 + 3r + 8r = 13 + -8r + 8r Combine like terms: 3r + 8r = 11r -9 + 11r = 13 + -8r + 8r Combine like terms: -8r + 8r = 0 -9 + 11r = 13 + 0 -9 + 11r = 13 Add '9' to each side of the equation. -9 + 9 + 11r = 13 + 9 Combine like terms: -9 + 9 = 0 0 + 11r = 13 + 9 11r = 13 + 9 Combine like terms: 13 + 9 = 22 11r = 22 Divide each side by '11'. r = 2 Simplifying r = 2
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