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Simplifying 6r + 19 = 199 + -12r Reorder the terms: 19 + 6r = 199 + -12r Solving 19 + 6r = 199 + -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 + 6r + 12r = 199 + -12r + 12r Combine like terms: 6r + 12r = 18r 19 + 18r = 199 + -12r + 12r Combine like terms: -12r + 12r = 0 19 + 18r = 199 + 0 19 + 18r = 199 Add '-19' to each side of the equation. 19 + -19 + 18r = 199 + -19 Combine like terms: 19 + -19 = 0 0 + 18r = 199 + -19 18r = 199 + -19 Combine like terms: 199 + -19 = 180 18r = 180 Divide each side by '18'. r = 10 Simplifying r = 10
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