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Simplifying 8 + -1(3 + b) = b + -1g 8 + (3 * -1 + b * -1) = b + -1g 8 + (-3 + -1b) = b + -1g Combine like terms: 8 + -3 = 5 5 + -1b = b + -1g Solving 5 + -1b = b + -1g Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 5 + -1b + -1b = b + -1b + -1g Combine like terms: -1b + -1b = -2b 5 + -2b = b + -1b + -1g Combine like terms: b + -1b = 0 5 + -2b = 0 + -1g 5 + -2b = -1g Add '-5' to each side of the equation. 5 + -5 + -2b = -5 + -1g Combine like terms: 5 + -5 = 0 0 + -2b = -5 + -1g -2b = -5 + -1g Divide each side by '-2'. b = 2.5 + 0.5g Simplifying b = 2.5 + 0.5g
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