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Simplifying -2(4b + 2) + (9b + -8) = 0 Reorder the terms: -2(2 + 4b) + (9b + -8) = 0 (2 * -2 + 4b * -2) + (9b + -8) = 0 (-4 + -8b) + (9b + -8) = 0 Reorder the terms: -4 + -8b + (-8 + 9b) = 0 Remove parenthesis around (-8 + 9b) -4 + -8b + -8 + 9b = 0 Reorder the terms: -4 + -8 + -8b + 9b = 0 Combine like terms: -4 + -8 = -12 -12 + -8b + 9b = 0 Combine like terms: -8b + 9b = 1b -12 + 1b = 0 Solving -12 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1b = 0 + 12 1b = 0 + 12 Combine like terms: 0 + 12 = 12 1b = 12 Divide each side by '1'. b = 12 Simplifying b = 12
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