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Simplifying g(6b + 9) = 3w + -6 Reorder the terms: g(9 + 6b) = 3w + -6 (9 * g + 6b * g) = 3w + -6 Reorder the terms: (6bg + 9g) = 3w + -6 (6bg + 9g) = 3w + -6 Reorder the terms: 6bg + 9g = -6 + 3w Solving 6bg + 9g = -6 + 3w Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9g' to each side of the equation. 6bg + 9g + -9g = -6 + -9g + 3w Combine like terms: 9g + -9g = 0 6bg + 0 = -6 + -9g + 3w 6bg = -6 + -9g + 3w Divide each side by '6g'. b = -1g-1 + -1.5 + 0.5g-1w Simplifying b = -1g-1 + -1.5 + 0.5g-1w Reorder the terms: b = -1.5 + -1g-1 + 0.5g-1w
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