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Simplifying (3r + 5) + (7r + 3) = 0 Reorder the terms: (5 + 3r) + (7r + 3) = 0 Remove parenthesis around (5 + 3r) 5 + 3r + (7r + 3) = 0 Reorder the terms: 5 + 3r + (3 + 7r) = 0 Remove parenthesis around (3 + 7r) 5 + 3r + 3 + 7r = 0 Reorder the terms: 5 + 3 + 3r + 7r = 0 Combine like terms: 5 + 3 = 8 8 + 3r + 7r = 0 Combine like terms: 3r + 7r = 10r 8 + 10r = 0 Solving 8 + 10r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 10r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 10r = 0 + -8 10r = 0 + -8 Combine like terms: 0 + -8 = -8 10r = -8 Divide each side by '10'. r = -0.8 Simplifying r = -0.8
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