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Simplifying -2(4b + 1) + (9b + -5) = 0 Reorder the terms: -2(1 + 4b) + (9b + -5) = 0 (1 * -2 + 4b * -2) + (9b + -5) = 0 (-2 + -8b) + (9b + -5) = 0 Reorder the terms: -2 + -8b + (-5 + 9b) = 0 Remove parenthesis around (-5 + 9b) -2 + -8b + -5 + 9b = 0 Reorder the terms: -2 + -5 + -8b + 9b = 0 Combine like terms: -2 + -5 = -7 -7 + -8b + 9b = 0 Combine like terms: -8b + 9b = 1b -7 + 1b = 0 Solving -7 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 1b = 0 + 7 1b = 0 + 7 Combine like terms: 0 + 7 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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