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Simplifying 6r + -5 = 7 + -12r Reorder the terms: -5 + 6r = 7 + -12r Solving -5 + 6r = 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. -5 + 6r + 12r = 7 + -12r + 12r Combine like terms: 6r + 12r = 18r -5 + 18r = 7 + -12r + 12r Combine like terms: -12r + 12r = 0 -5 + 18r = 7 + 0 -5 + 18r = 7 Add '5' to each side of the equation. -5 + 5 + 18r = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 18r = 7 + 5 18r = 7 + 5 Combine like terms: 7 + 5 = 12 18r = 12 Divide each side by '18'. r = 0.6666666667 Simplifying r = 0.6666666667
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