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Simplifying (3b + 2r) + (4b + r) = 0 Remove parenthesis around (3b + 2r) 3b + 2r + (4b + r) = 0 Remove parenthesis around (4b + r) 3b + 2r + 4b + r = 0 Reorder the terms: 3b + 4b + 2r + r = 0 Combine like terms: 3b + 4b = 7b 7b + 2r + r = 0 Combine like terms: 2r + r = 3r 7b + 3r = 0 Solving 7b + 3r = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3r' to each side of the equation. 7b + 3r + -3r = 0 + -3r Combine like terms: 3r + -3r = 0 7b + 0 = 0 + -3r 7b = 0 + -3r Remove the zero: 7b = -3r Divide each side by '7'. b = -0.4285714286r Simplifying b = -0.4285714286r
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