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Simplifying 9 + 2[b + -4(b + -2)] = 0 Reorder the terms: 9 + 2[b + -4(-2 + b)] = 0 9 + 2[b + (-2 * -4 + b * -4)] = 0 9 + 2[b + (8 + -4b)] = 0 Reorder the terms: 9 + 2[8 + b + -4b] = 0 Combine like terms: b + -4b = -3b 9 + 2[8 + -3b] = 0 9 + [8 * 2 + -3b * 2] = 0 9 + [16 + -6b] = 0 Combine like terms: 9 + 16 = 25 25 + -6b = 0 Solving 25 + -6b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -6b = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -6b = 0 + -25 -6b = 0 + -25 Combine like terms: 0 + -25 = -25 -6b = -25 Divide each side by '-6'. b = 4.166666667 Simplifying b = 4.166666667
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