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Simplifying 11r + 19 = 1 + -12r + 6 Reorder the terms: 19 + 11r = 1 + -12r + 6 Reorder the terms: 19 + 11r = 1 + 6 + -12r Combine like terms: 1 + 6 = 7 19 + 11r = 7 + -12r Solving 19 + 11r = 7 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. 19 + 11r + 12r = 7 + -12r + 12r Combine like terms: 11r + 12r = 23r 19 + 23r = 7 + -12r + 12r Combine like terms: -12r + 12r = 0 19 + 23r = 7 + 0 19 + 23r = 7 Add '-19' to each side of the equation. 19 + -19 + 23r = 7 + -19 Combine like terms: 19 + -19 = 0 0 + 23r = 7 + -19 23r = 7 + -19 Combine like terms: 7 + -19 = -12 23r = -12 Divide each side by '23'. r = -0.5217391304 Simplifying r = -0.5217391304
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