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Simplifying (5r + -4 + 5r2) + (7r + -5r2 + 5) = 0 Reorder the terms: (-4 + 5r + 5r2) + (7r + -5r2 + 5) = 0 Remove parenthesis around (-4 + 5r + 5r2) -4 + 5r + 5r2 + (7r + -5r2 + 5) = 0 Reorder the terms: -4 + 5r + 5r2 + (5 + 7r + -5r2) = 0 Remove parenthesis around (5 + 7r + -5r2) -4 + 5r + 5r2 + 5 + 7r + -5r2 = 0 Reorder the terms: -4 + 5 + 5r + 7r + 5r2 + -5r2 = 0 Combine like terms: -4 + 5 = 1 1 + 5r + 7r + 5r2 + -5r2 = 0 Combine like terms: 5r + 7r = 12r 1 + 12r + 5r2 + -5r2 = 0 Combine like terms: 5r2 + -5r2 = 0 1 + 12r + 0 = 0 1 + 12r = 0 Solving 1 + 12r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 12r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 12r = 0 + -1 12r = 0 + -1 Combine like terms: 0 + -1 = -1 12r = -1 Divide each side by '12'. r = -0.08333333333 Simplifying r = -0.08333333333
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