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Simplifying 2(8b + 2) + -1 + 4g + -1(2 + -5g) = 0 Reorder the terms: 2(2 + 8b) + -1 + 4g + -1(2 + -5g) = 0 (2 * 2 + 8b * 2) + -1 + 4g + -1(2 + -5g) = 0 (4 + 16b) + -1 + 4g + -1(2 + -5g) = 0 4 + 16b + -1 + 4g + (2 * -1 + -5g * -1) = 0 4 + 16b + -1 + 4g + (-2 + 5g) = 0 Reorder the terms: 4 + -1 + -2 + 16b + 4g + 5g = 0 Combine like terms: 4 + -1 = 3 3 + -2 + 16b + 4g + 5g = 0 Combine like terms: 3 + -2 = 1 1 + 16b + 4g + 5g = 0 Combine like terms: 4g + 5g = 9g 1 + 16b + 9g = 0 Solving 1 + 16b + 9g = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 16b + -1 + 9g = 0 + -1 Reorder the terms: 1 + -1 + 16b + 9g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 16b + 9g = 0 + -1 16b + 9g = 0 + -1 Combine like terms: 0 + -1 = -1 16b + 9g = -1 Add '-9g' to each side of the equation. 16b + 9g + -9g = -1 + -9g Combine like terms: 9g + -9g = 0 16b + 0 = -1 + -9g 16b = -1 + -9g Divide each side by '16'. b = -0.0625 + -0.5625g Simplifying b = -0.0625 + -0.5625g
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