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Simplifying 8 = 7 + -3(2b + -1) Reorder the terms: 8 = 7 + -3(-1 + 2b) 8 = 7 + (-1 * -3 + 2b * -3) 8 = 7 + (3 + -6b) Combine like terms: 7 + 3 = 10 8 = 10 + -6b Solving 8 = 10 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 8 + 6b = 10 + -6b + 6b Combine like terms: -6b + 6b = 0 8 + 6b = 10 + 0 8 + 6b = 10 Add '-8' to each side of the equation. 8 + -8 + 6b = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 6b = 10 + -8 6b = 10 + -8 Combine like terms: 10 + -8 = 2 6b = 2 Divide each side by '6'. b = 0.3333333333 Simplifying b = 0.3333333333
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