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Simplifying -1(b + 2) = -2(3 + 7b) + 9b Reorder the terms: -1(2 + b) = -2(3 + 7b) + 9b (2 * -1 + b * -1) = -2(3 + 7b) + 9b (-2 + -1b) = -2(3 + 7b) + 9b -2 + -1b = (3 * -2 + 7b * -2) + 9b -2 + -1b = (-6 + -14b) + 9b Combine like terms: -14b + 9b = -5b -2 + -1b = -6 + -5b Solving -2 + -1b = -6 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. -2 + -1b + 5b = -6 + -5b + 5b Combine like terms: -1b + 5b = 4b -2 + 4b = -6 + -5b + 5b Combine like terms: -5b + 5b = 0 -2 + 4b = -6 + 0 -2 + 4b = -6 Add '2' to each side of the equation. -2 + 2 + 4b = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 4b = -6 + 2 4b = -6 + 2 Combine like terms: -6 + 2 = -4 4b = -4 Divide each side by '4'. b = -1 Simplifying b = -1
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