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Simplifying (r + -11) + 2r + -6 = 11r(1) Reorder the terms: (-11 + r) + 2r + -6 = 11r(1) Remove parenthesis around (-11 + r) -11 + r + 2r + -6 = 11r(1) Reorder the terms: -11 + -6 + r + 2r = 11r(1) Combine like terms: -11 + -6 = -17 -17 + r + 2r = 11r(1) Combine like terms: r + 2r = 3r -17 + 3r = 11r(1) Reorder the terms for easier multiplication: -17 + 3r = 11 * 1r Multiply 11 * 1 -17 + 3r = 11r Solving -17 + 3r = 11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11r' to each side of the equation. -17 + 3r + -11r = 11r + -11r Combine like terms: 3r + -11r = -8r -17 + -8r = 11r + -11r Combine like terms: 11r + -11r = 0 -17 + -8r = 0 Add '17' to each side of the equation. -17 + 17 + -8r = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -8r = 0 + 17 -8r = 0 + 17 Combine like terms: 0 + 17 = 17 -8r = 17 Divide each side by '-8'. r = -2.125 Simplifying r = -2.125
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