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Simplifying 2(1 + -1b) = -9(1 + -1b) (1 * 2 + -1b * 2) = -9(1 + -1b) (2 + -2b) = -9(1 + -1b) 2 + -2b = (1 * -9 + -1b * -9) 2 + -2b = (-9 + 9b) Solving 2 + -2b = -9 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 2 + -2b + -9b = -9 + 9b + -9b Combine like terms: -2b + -9b = -11b 2 + -11b = -9 + 9b + -9b Combine like terms: 9b + -9b = 0 2 + -11b = -9 + 0 2 + -11b = -9 Add '-2' to each side of the equation. 2 + -2 + -11b = -9 + -2 Combine like terms: 2 + -2 = 0 0 + -11b = -9 + -2 -11b = -9 + -2 Combine like terms: -9 + -2 = -11 -11b = -11 Divide each side by '-11'. b = 1 Simplifying b = 1
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