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Simplifying 12 = 1 + 8r + 3r Combine like terms: 8r + 3r = 11r 12 = 1 + 11r Solving 12 = 1 + 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. 12 + -11r = 1 + 11r + -11r Combine like terms: 11r + -11r = 0 12 + -11r = 1 + 0 12 + -11r = 1 Add '-12' to each side of the equation. 12 + -12 + -11r = 1 + -12 Combine like terms: 12 + -12 = 0 0 + -11r = 1 + -12 -11r = 1 + -12 Combine like terms: 1 + -12 = -11 -11r = -11 Divide each side by '-11'. r = 1 Simplifying r = 1
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