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