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Simplifying -6(-3 + 9b) = -3(16b + 8) (-3 * -6 + 9b * -6) = -3(16b + 8) (18 + -54b) = -3(16b + 8) Reorder the terms: 18 + -54b = -3(8 + 16b) 18 + -54b = (8 * -3 + 16b * -3) 18 + -54b = (-24 + -48b) Solving 18 + -54b = -24 + -48b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '48b' to each side of the equation. 18 + -54b + 48b = -24 + -48b + 48b Combine like terms: -54b + 48b = -6b 18 + -6b = -24 + -48b + 48b Combine like terms: -48b + 48b = 0 18 + -6b = -24 + 0 18 + -6b = -24 Add '-18' to each side of the equation. 18 + -18 + -6b = -24 + -18 Combine like terms: 18 + -18 = 0 0 + -6b = -24 + -18 -6b = -24 + -18 Combine like terms: -24 + -18 = -42 -6b = -42 Divide each side by '-6'. b = 7 Simplifying b = 7
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