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Simplifying -3(b + 2) = -2(3 + -6b) Reorder the terms: -3(2 + b) = -2(3 + -6b) (2 * -3 + b * -3) = -2(3 + -6b) (-6 + -3b) = -2(3 + -6b) -6 + -3b = (3 * -2 + -6b * -2) -6 + -3b = (-6 + 12b) Add '6' to each side of the equation. -6 + 6 + -3b = -6 + 6 + 12b Combine like terms: -6 + 6 = 0 0 + -3b = -6 + 6 + 12b -3b = -6 + 6 + 12b Combine like terms: -6 + 6 = 0 -3b = 0 + 12b -3b = 12b Solving -3b = 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. -3b + -12b = 12b + -12b Combine like terms: -3b + -12b = -15b -15b = 12b + -12b Combine like terms: 12b + -12b = 0 -15b = 0 Divide each side by '-15'. b = 0 Simplifying b = 0
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