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Simplifying 41 + -10r = 11(r + -2) Reorder the terms: 41 + -10r = 11(-2 + r) 41 + -10r = (-2 * 11 + r * 11) 41 + -10r = (-22 + 11r) Solving 41 + -10r = -22 + 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. 41 + -10r + -11r = -22 + 11r + -11r Combine like terms: -10r + -11r = -21r 41 + -21r = -22 + 11r + -11r Combine like terms: 11r + -11r = 0 41 + -21r = -22 + 0 41 + -21r = -22 Add '-41' to each side of the equation. 41 + -41 + -21r = -22 + -41 Combine like terms: 41 + -41 = 0 0 + -21r = -22 + -41 -21r = -22 + -41 Combine like terms: -22 + -41 = -63 -21r = -63 Divide each side by '-21'. r = 3 Simplifying r = 3
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