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Simplifying (-3r + 7) + (-6r + 9) = 0 Reorder the terms: (7 + -3r) + (-6r + 9) = 0 Remove parenthesis around (7 + -3r) 7 + -3r + (-6r + 9) = 0 Reorder the terms: 7 + -3r + (9 + -6r) = 0 Remove parenthesis around (9 + -6r) 7 + -3r + 9 + -6r = 0 Reorder the terms: 7 + 9 + -3r + -6r = 0 Combine like terms: 7 + 9 = 16 16 + -3r + -6r = 0 Combine like terms: -3r + -6r = -9r 16 + -9r = 0 Solving 16 + -9r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -9r = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -9r = 0 + -16 -9r = 0 + -16 Combine like terms: 0 + -16 = -16 -9r = -16 Divide each side by '-9'. r = 1.777777778 Simplifying r = 1.777777778
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