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Simplifying r + 41 = -2r + 8 Reorder the terms: 41 + r = -2r + 8 Reorder the terms: 41 + r = 8 + -2r Solving 41 + r = 8 + -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. 41 + r + 2r = 8 + -2r + 2r Combine like terms: r + 2r = 3r 41 + 3r = 8 + -2r + 2r Combine like terms: -2r + 2r = 0 41 + 3r = 8 + 0 41 + 3r = 8 Add '-41' to each side of the equation. 41 + -41 + 3r = 8 + -41 Combine like terms: 41 + -41 = 0 0 + 3r = 8 + -41 3r = 8 + -41 Combine like terms: 8 + -41 = -33 3r = -33 Divide each side by '3'. r = -11 Simplifying r = -11
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