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Simplifying -4(2b + 4) + (9b + -7) = 0 Reorder the terms: -4(4 + 2b) + (9b + -7) = 0 (4 * -4 + 2b * -4) + (9b + -7) = 0 (-16 + -8b) + (9b + -7) = 0 Reorder the terms: -16 + -8b + (-7 + 9b) = 0 Remove parenthesis around (-7 + 9b) -16 + -8b + -7 + 9b = 0 Reorder the terms: -16 + -7 + -8b + 9b = 0 Combine like terms: -16 + -7 = -23 -23 + -8b + 9b = 0 Combine like terms: -8b + 9b = 1b -23 + 1b = 0 Solving -23 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 1b = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1b = 0 + 23 1b = 0 + 23 Combine like terms: 0 + 23 = 23 1b = 23 Divide each side by '1'. b = 23 Simplifying b = 23
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