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Simplifying 12 + 10r = 8r + 11 Reorder the terms: 12 + 10r = 11 + 8r Solving 12 + 10r = 11 + 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. 12 + 10r + -8r = 11 + 8r + -8r Combine like terms: 10r + -8r = 2r 12 + 2r = 11 + 8r + -8r Combine like terms: 8r + -8r = 0 12 + 2r = 11 + 0 12 + 2r = 11 Add '-12' to each side of the equation. 12 + -12 + 2r = 11 + -12 Combine like terms: 12 + -12 = 0 0 + 2r = 11 + -12 2r = 11 + -12 Combine like terms: 11 + -12 = -1 2r = -1 Divide each side by '2'. r = -0.5 Simplifying r = -0.5
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