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Simplifying 2(b + 4) + -1(9 + b) = -2 Reorder the terms: 2(4 + b) + -1(9 + b) = -2 (4 * 2 + b * 2) + -1(9 + b) = -2 (8 + 2b) + -1(9 + b) = -2 8 + 2b + (9 * -1 + b * -1) = -2 8 + 2b + (-9 + -1b) = -2 Reorder the terms: 8 + -9 + 2b + -1b = -2 Combine like terms: 8 + -9 = -1 -1 + 2b + -1b = -2 Combine like terms: 2b + -1b = 1b -1 + 1b = -2 Solving -1 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1b = -2 + 1 Combine like terms: -1 + 1 = 0 0 + 1b = -2 + 1 1b = -2 + 1 Combine like terms: -2 + 1 = -1 1b = -1 Divide each side by '1'. b = -1 Simplifying b = -1
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