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Simplifying 2(1 + -3b) = -6b + -2(4b + -1) (1 * 2 + -3b * 2) = -6b + -2(4b + -1) (2 + -6b) = -6b + -2(4b + -1) Reorder the terms: 2 + -6b = -6b + -2(-1 + 4b) 2 + -6b = -6b + (-1 * -2 + 4b * -2) 2 + -6b = -6b + (2 + -8b) Reorder the terms: 2 + -6b = 2 + -6b + -8b Combine like terms: -6b + -8b = -14b 2 + -6b = 2 + -14b Add '-2' to each side of the equation. 2 + -2 + -6b = 2 + -2 + -14b Combine like terms: 2 + -2 = 0 0 + -6b = 2 + -2 + -14b -6b = 2 + -2 + -14b Combine like terms: 2 + -2 = 0 -6b = 0 + -14b -6b = -14b Solving -6b = -14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14b' to each side of the equation. -6b + 14b = -14b + 14b Combine like terms: -6b + 14b = 8b 8b = -14b + 14b Combine like terms: -14b + 14b = 0 8b = 0 Divide each side by '8'. b = 0 Simplifying b = 0
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