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Simplifying -4(1 + b) + 8b = -14 + 2b (1 * -4 + b * -4) + 8b = -14 + 2b (-4 + -4b) + 8b = -14 + 2b Combine like terms: -4b + 8b = 4b -4 + 4b = -14 + 2b Solving -4 + 4b = -14 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -4 + 4b + -2b = -14 + 2b + -2b Combine like terms: 4b + -2b = 2b -4 + 2b = -14 + 2b + -2b Combine like terms: 2b + -2b = 0 -4 + 2b = -14 + 0 -4 + 2b = -14 Add '4' to each side of the equation. -4 + 4 + 2b = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 2b = -14 + 4 2b = -14 + 4 Combine like terms: -14 + 4 = -10 2b = -10 Divide each side by '2'. b = -5 Simplifying b = -5
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