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Simplifying 2(b + 1) + -1(8 + b) = -5 Reorder the terms: 2(1 + b) + -1(8 + b) = -5 (1 * 2 + b * 2) + -1(8 + b) = -5 (2 + 2b) + -1(8 + b) = -5 2 + 2b + (8 * -1 + b * -1) = -5 2 + 2b + (-8 + -1b) = -5 Reorder the terms: 2 + -8 + 2b + -1b = -5 Combine like terms: 2 + -8 = -6 -6 + 2b + -1b = -5 Combine like terms: 2b + -1b = 1b -6 + 1b = -5 Solving -6 + 1b = -5 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 + 1b = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 1b = -5 + 6 1b = -5 + 6 Combine like terms: -5 + 6 = 1 1b = 1 Divide each side by '1'. b = 1 Simplifying b = 1
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