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Simplifying -2(4b + 7) = -1 + 5b Reorder the terms: -2(7 + 4b) = -1 + 5b (7 * -2 + 4b * -2) = -1 + 5b (-14 + -8b) = -1 + 5b Solving -14 + -8b = -1 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -14 + -8b + -5b = -1 + 5b + -5b Combine like terms: -8b + -5b = -13b -14 + -13b = -1 + 5b + -5b Combine like terms: 5b + -5b = 0 -14 + -13b = -1 + 0 -14 + -13b = -1 Add '14' to each side of the equation. -14 + 14 + -13b = -1 + 14 Combine like terms: -14 + 14 = 0 0 + -13b = -1 + 14 -13b = -1 + 14 Combine like terms: -1 + 14 = 13 -13b = 13 Divide each side by '-13'. b = -1 Simplifying b = -1
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