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Simplifying 5r + 6r + 7r + -6 = 0 Reorder the terms: -6 + 5r + 6r + 7r = 0 Combine like terms: 5r + 6r = 11r -6 + 11r + 7r = 0 Combine like terms: 11r + 7r = 18r -6 + 18r = 0 Solving -6 + 18r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 18r = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 18r = 0 + 6 18r = 0 + 6 Combine like terms: 0 + 6 = 6 18r = 6 Divide each side by '18'. r = 0.3333333333 Simplifying r = 0.3333333333
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