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