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Simplifying -2 + -9r = 10 + 2r + 10 Reorder the terms: -2 + -9r = 10 + 10 + 2r Combine like terms: 10 + 10 = 20 -2 + -9r = 20 + 2r Solving -2 + -9r = 20 + 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. -2 + -9r + -2r = 20 + 2r + -2r Combine like terms: -9r + -2r = -11r -2 + -11r = 20 + 2r + -2r Combine like terms: 2r + -2r = 0 -2 + -11r = 20 + 0 -2 + -11r = 20 Add '2' to each side of the equation. -2 + 2 + -11r = 20 + 2 Combine like terms: -2 + 2 = 0 0 + -11r = 20 + 2 -11r = 20 + 2 Combine like terms: 20 + 2 = 22 -11r = 22 Divide each side by '-11'. r = -2 Simplifying r = -2
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