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Simplifying 2(b + 3) + -1(9 + b) = -4 Reorder the terms: 2(3 + b) + -1(9 + b) = -4 (3 * 2 + b * 2) + -1(9 + b) = -4 (6 + 2b) + -1(9 + b) = -4 6 + 2b + (9 * -1 + b * -1) = -4 6 + 2b + (-9 + -1b) = -4 Reorder the terms: 6 + -9 + 2b + -1b = -4 Combine like terms: 6 + -9 = -3 -3 + 2b + -1b = -4 Combine like terms: 2b + -1b = 1b -3 + 1b = -4 Solving -3 + 1b = -4 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 = -4 + 3 Combine like terms: -3 + 3 = 0 0 + 1b = -4 + 3 1b = -4 + 3 Combine like terms: -4 + 3 = -1 1b = -1 Divide each side by '1'. b = -1 Simplifying b = -1
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