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Simplifying (8r + 9) + 7(4r + 3) = 0 Reorder the terms: (9 + 8r) + 7(4r + 3) = 0 Remove parenthesis around (9 + 8r) 9 + 8r + 7(4r + 3) = 0 Reorder the terms: 9 + 8r + 7(3 + 4r) = 0 9 + 8r + (3 * 7 + 4r * 7) = 0 9 + 8r + (21 + 28r) = 0 Reorder the terms: 9 + 21 + 8r + 28r = 0 Combine like terms: 9 + 21 = 30 30 + 8r + 28r = 0 Combine like terms: 8r + 28r = 36r 30 + 36r = 0 Solving 30 + 36r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 36r = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 36r = 0 + -30 36r = 0 + -30 Combine like terms: 0 + -30 = -30 36r = -30 Divide each side by '36'. r = -0.8333333333 Simplifying r = -0.8333333333
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