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Simplifying g(b + 1) = 7x + -9 Reorder the terms: g(1 + b) = 7x + -9 (1 * g + b * g) = 7x + -9 Reorder the terms: (bg + 1g) = 7x + -9 (bg + 1g) = 7x + -9 Reorder the terms: bg + 1g = -9 + 7x Solving bg + 1g = -9 + 7x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1g' to each side of the equation. bg + 1g + -1g = -9 + -1g + 7x Combine like terms: 1g + -1g = 0 bg + 0 = -9 + -1g + 7x bg = -9 + -1g + 7x Divide each side by 'g'. b = -9g-1 + -1 + 7g-1x Simplifying b = -9g-1 + -1 + 7g-1x Reorder the terms: b = -1 + -9g-1 + 7g-1x
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