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Simplifying 7b + -6(1 + -2b) = 10 7b + (1 * -6 + -2b * -6) = 10 7b + (-6 + 12b) = 10 Reorder the terms: -6 + 7b + 12b = 10 Combine like terms: 7b + 12b = 19b -6 + 19b = 10 Solving -6 + 19b = 10 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 19b = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 19b = 10 + 6 19b = 10 + 6 Combine like terms: 10 + 6 = 16 19b = 16 Divide each side by '19'. b = 0.8421052632 Simplifying b = 0.8421052632
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