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Simplifying 9 + (5r + -4) + -2 = (3r + 7) + -4 Reorder the terms: 9 + (-4 + 5r) + -2 = (3r + 7) + -4 Remove parenthesis around (-4 + 5r) 9 + -4 + 5r + -2 = (3r + 7) + -4 Reorder the terms: 9 + -4 + -2 + 5r = (3r + 7) + -4 Combine like terms: 9 + -4 = 5 5 + -2 + 5r = (3r + 7) + -4 Combine like terms: 5 + -2 = 3 3 + 5r = (3r + 7) + -4 Reorder the terms: 3 + 5r = (7 + 3r) + -4 Remove parenthesis around (7 + 3r) 3 + 5r = 7 + 3r + -4 Reorder the terms: 3 + 5r = 7 + -4 + 3r Combine like terms: 7 + -4 = 3 3 + 5r = 3 + 3r Add '-3' to each side of the equation. 3 + -3 + 5r = 3 + -3 + 3r Combine like terms: 3 + -3 = 0 0 + 5r = 3 + -3 + 3r 5r = 3 + -3 + 3r Combine like terms: 3 + -3 = 0 5r = 0 + 3r 5r = 3r Solving 5r = 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 5r + -3r = 3r + -3r Combine like terms: 5r + -3r = 2r 2r = 3r + -3r Combine like terms: 3r + -3r = 0 2r = 0 Divide each side by '2'. r = 0 Simplifying r = 0
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