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Simplifying -2(-2b + -7) = -2(1 + 4b) + 4b Reorder the terms: -2(-7 + -2b) = -2(1 + 4b) + 4b (-7 * -2 + -2b * -2) = -2(1 + 4b) + 4b (14 + 4b) = -2(1 + 4b) + 4b 14 + 4b = (1 * -2 + 4b * -2) + 4b 14 + 4b = (-2 + -8b) + 4b Combine like terms: -8b + 4b = -4b 14 + 4b = -2 + -4b Solving 14 + 4b = -2 + -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. 14 + 4b + 4b = -2 + -4b + 4b Combine like terms: 4b + 4b = 8b 14 + 8b = -2 + -4b + 4b Combine like terms: -4b + 4b = 0 14 + 8b = -2 + 0 14 + 8b = -2 Add '-14' to each side of the equation. 14 + -14 + 8b = -2 + -14 Combine like terms: 14 + -14 = 0 0 + 8b = -2 + -14 8b = -2 + -14 Combine like terms: -2 + -14 = -16 8b = -16 Divide each side by '8'. b = -2 Simplifying b = -2
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