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Simplifying -6(b + 3) + 6b = -6(-4b + 3) Reorder the terms: -6(3 + b) + 6b = -6(-4b + 3) (3 * -6 + b * -6) + 6b = -6(-4b + 3) (-18 + -6b) + 6b = -6(-4b + 3) Combine like terms: -6b + 6b = 0 -18 + 0 = -6(-4b + 3) -18 = -6(-4b + 3) Reorder the terms: -18 = -6(3 + -4b) -18 = (3 * -6 + -4b * -6) -18 = (-18 + 24b) Add '18' to each side of the equation. -18 + 18 = -18 + 18 + 24b Combine like terms: -18 + 18 = 0 0 = -18 + 18 + 24b Combine like terms: -18 + 18 = 0 0 = 0 + 24b 0 = 24b Solving 0 = 24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24b' to each side of the equation. 0 + -24b = 24b + -24b Remove the zero: -24b = 24b + -24b Combine like terms: 24b + -24b = 0 -24b = 0 Divide each side by '-24'. b = 0 Simplifying b = 0
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