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Simplifying 8b + -2(3b + 1) = 10 Reorder the terms: 8b + -2(1 + 3b) = 10 8b + (1 * -2 + 3b * -2) = 10 8b + (-2 + -6b) = 10 Reorder the terms: -2 + 8b + -6b = 10 Combine like terms: 8b + -6b = 2b -2 + 2b = 10 Solving -2 + 2b = 10 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2b = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 2b = 10 + 2 2b = 10 + 2 Combine like terms: 10 + 2 = 12 2b = 12 Divide each side by '2'. b = 6 Simplifying b = 6
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