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Simplifying (8b + -4r) + -1(2b + -1r) = 0 Remove parenthesis around (8b + -4r) 8b + -4r + -1(2b + -1r) = 0 8b + -4r + (2b * -1 + -1r * -1) = 0 8b + -4r + (-2b + 1r) = 0 Reorder the terms: 8b + -2b + -4r + 1r = 0 Combine like terms: 8b + -2b = 6b 6b + -4r + 1r = 0 Combine like terms: -4r + 1r = -3r 6b + -3r = 0 Solving 6b + -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. 6b + -3r + 3r = 0 + 3r Combine like terms: -3r + 3r = 0 6b + 0 = 0 + 3r 6b = 0 + 3r Remove the zero: 6b = 3r Divide each side by '6'. b = 0.5r Simplifying b = 0.5r
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