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Simplifying 2(b + 2) + -1(9 + b) = -2 Reorder the terms: 2(2 + b) + -1(9 + b) = -2 (2 * 2 + b * 2) + -1(9 + b) = -2 (4 + 2b) + -1(9 + b) = -2 4 + 2b + (9 * -1 + b * -1) = -2 4 + 2b + (-9 + -1b) = -2 Reorder the terms: 4 + -9 + 2b + -1b = -2 Combine like terms: 4 + -9 = -5 -5 + 2b + -1b = -2 Combine like terms: 2b + -1b = 1b -5 + 1b = -2 Solving -5 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1b = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 1b = -2 + 5 1b = -2 + 5 Combine like terms: -2 + 5 = 3 1b = 3 Divide each side by '1'. b = 3 Simplifying b = 3
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