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