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Simplifying -6(b + 3) = -9(4b + 2) Reorder the terms: -6(3 + b) = -9(4b + 2) (3 * -6 + b * -6) = -9(4b + 2) (-18 + -6b) = -9(4b + 2) Reorder the terms: -18 + -6b = -9(2 + 4b) -18 + -6b = (2 * -9 + 4b * -9) -18 + -6b = (-18 + -36b) Add '18' to each side of the equation. -18 + 18 + -6b = -18 + 18 + -36b Combine like terms: -18 + 18 = 0 0 + -6b = -18 + 18 + -36b -6b = -18 + 18 + -36b Combine like terms: -18 + 18 = 0 -6b = 0 + -36b -6b = -36b Solving -6b = -36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36b' to each side of the equation. -6b + 36b = -36b + 36b Combine like terms: -6b + 36b = 30b 30b = -36b + 36b Combine like terms: -36b + 36b = 0 30b = 0 Divide each side by '30'. b = 0.0 Simplifying b = 0.0
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