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Simplifying -4(2b + 3) + (9b + -6) = 0 Reorder the terms: -4(3 + 2b) + (9b + -6) = 0 (3 * -4 + 2b * -4) + (9b + -6) = 0 (-12 + -8b) + (9b + -6) = 0 Reorder the terms: -12 + -8b + (-6 + 9b) = 0 Remove parenthesis around (-6 + 9b) -12 + -8b + -6 + 9b = 0 Reorder the terms: -12 + -6 + -8b + 9b = 0 Combine like terms: -12 + -6 = -18 -18 + -8b + 9b = 0 Combine like terms: -8b + 9b = 1b -18 + 1b = 0 Solving -18 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 1b = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 1b = 0 + 18 1b = 0 + 18 Combine like terms: 0 + 18 = 18 1b = 18 Divide each side by '1'. b = 18 Simplifying b = 18
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