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Simplifying -1bg + -1(8 + -1g) = 12 -1bg + (8 * -1 + -1g * -1) = 12 -1bg + (-8 + 1g) = 12 Reorder the terms: -8 + -1bg + 1g = 12 Solving -8 + -1bg + 1g = 12 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -1bg + 8 + 1g = 12 + 8 Reorder the terms: -8 + 8 + -1bg + 1g = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -1bg + 1g = 12 + 8 -1bg + 1g = 12 + 8 Combine like terms: 12 + 8 = 20 -1bg + 1g = 20 Add '-1g' to each side of the equation. -1bg + 1g + -1g = 20 + -1g Combine like terms: 1g + -1g = 0 -1bg + 0 = 20 + -1g -1bg = 20 + -1g Divide each side by '-1g'. b = -20g-1 + 1 Simplifying b = -20g-1 + 1 Reorder the terms: b = 1 + -20g-1
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