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Simplifying -4(2b + 1) + (9b + -2) = 0 Reorder the terms: -4(1 + 2b) + (9b + -2) = 0 (1 * -4 + 2b * -4) + (9b + -2) = 0 (-4 + -8b) + (9b + -2) = 0 Reorder the terms: -4 + -8b + (-2 + 9b) = 0 Remove parenthesis around (-2 + 9b) -4 + -8b + -2 + 9b = 0 Reorder the terms: -4 + -2 + -8b + 9b = 0 Combine like terms: -4 + -2 = -6 -6 + -8b + 9b = 0 Combine like terms: -8b + 9b = 1b -6 + 1b = 0 Solving -6 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 1b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 1b = 0 + 6 1b = 0 + 6 Combine like terms: 0 + 6 = 6 1b = 6 Divide each side by '1'. b = 6 Simplifying b = 6
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