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Simplifying (8r + 9) + (4r + 3) = 0 Reorder the terms: (9 + 8r) + (4r + 3) = 0 Remove parenthesis around (9 + 8r) 9 + 8r + (4r + 3) = 0 Reorder the terms: 9 + 8r + (3 + 4r) = 0 Remove parenthesis around (3 + 4r) 9 + 8r + 3 + 4r = 0 Reorder the terms: 9 + 3 + 8r + 4r = 0 Combine like terms: 9 + 3 = 12 12 + 8r + 4r = 0 Combine like terms: 8r + 4r = 12r 12 + 12r = 0 Solving 12 + 12r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 12r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 12r = 0 + -12 12r = 0 + -12 Combine like terms: 0 + -12 = -12 12r = -12 Divide each side by '12'. r = -1 Simplifying r = -1
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