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