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Simplifying (7r + -2) + (8 + -9r) = 0 Reorder the terms: (-2 + 7r) + (8 + -9r) = 0 Remove parenthesis around (-2 + 7r) -2 + 7r + (8 + -9r) = 0 Remove parenthesis around (8 + -9r) -2 + 7r + 8 + -9r = 0 Reorder the terms: -2 + 8 + 7r + -9r = 0 Combine like terms: -2 + 8 = 6 6 + 7r + -9r = 0 Combine like terms: 7r + -9r = -2r 6 + -2r = 0 Solving 6 + -2r = 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 + -2r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2r = 0 + -6 -2r = 0 + -6 Combine like terms: 0 + -6 = -6 -2r = -6 Divide each side by '-2'. r = 3 Simplifying r = 3
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