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