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Simplifying -1(1 + -6b) = -3 + 2(2b + -4) (1 * -1 + -6b * -1) = -3 + 2(2b + -4) (-1 + 6b) = -3 + 2(2b + -4) Reorder the terms: -1 + 6b = -3 + 2(-4 + 2b) -1 + 6b = -3 + (-4 * 2 + 2b * 2) -1 + 6b = -3 + (-8 + 4b) Combine like terms: -3 + -8 = -11 -1 + 6b = -11 + 4b Solving -1 + 6b = -11 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -1 + 6b + -4b = -11 + 4b + -4b Combine like terms: 6b + -4b = 2b -1 + 2b = -11 + 4b + -4b Combine like terms: 4b + -4b = 0 -1 + 2b = -11 + 0 -1 + 2b = -11 Add '1' to each side of the equation. -1 + 1 + 2b = -11 + 1 Combine like terms: -1 + 1 = 0 0 + 2b = -11 + 1 2b = -11 + 1 Combine like terms: -11 + 1 = -10 2b = -10 Divide each side by '2'. b = -5 Simplifying b = -5
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