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