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Simplifying 3r + -4b + 5b + -1r + 6r = 0 Reorder the terms: -4b + 5b + 3r + -1r + 6r = 0 Combine like terms: -4b + 5b = 1b 1b + 3r + -1r + 6r = 0 Combine like terms: 3r + -1r = 2r 1b + 2r + 6r = 0 Combine like terms: 2r + 6r = 8r 1b + 8r = 0 Solving 1b + 8r = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8r' to each side of the equation. 1b + 8r + -8r = 0 + -8r Combine like terms: 8r + -8r = 0 1b + 0 = 0 + -8r 1b = 0 + -8r Remove the zero: 1b = -8r Divide each side by '1'. b = -8r Simplifying b = -8r
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