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Simplifying g(b + 4) = 7(b + 4) + 2 Reorder the terms: g(4 + b) = 7(b + 4) + 2 (4 * g + b * g) = 7(b + 4) + 2 Reorder the terms: (bg + 4g) = 7(b + 4) + 2 (bg + 4g) = 7(b + 4) + 2 Reorder the terms: bg + 4g = 7(4 + b) + 2 bg + 4g = (4 * 7 + b * 7) + 2 bg + 4g = (28 + 7b) + 2 Reorder the terms: bg + 4g = 28 + 2 + 7b Combine like terms: 28 + 2 = 30 bg + 4g = 30 + 7b Solving bg + 4g = 30 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. bg + -7b + 4g = 30 + 7b + -7b Reorder the terms: -7b + bg + 4g = 30 + 7b + -7b Combine like terms: 7b + -7b = 0 -7b + bg + 4g = 30 + 0 -7b + bg + 4g = 30 Add '-4g' to each side of the equation. -7b + bg + 4g + -4g = 30 + -4g Combine like terms: 4g + -4g = 0 -7b + bg + 0 = 30 + -4g -7b + bg = 30 + -4g Reorder the terms: -30 + -7b + bg + 4g = 30 + -4g + -30 + 4g Reorder the terms: -30 + -7b + bg + 4g = 30 + -30 + -4g + 4g Combine like terms: 30 + -30 = 0 -30 + -7b + bg + 4g = 0 + -4g + 4g -30 + -7b + bg + 4g = -4g + 4g Combine like terms: -4g + 4g = 0 -30 + -7b + bg + 4g = 0 The solution to this equation could not be determined.
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