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Simplifying -7(1 + b) = -5 + -5b (1 * -7 + b * -7) = -5 + -5b (-7 + -7b) = -5 + -5b Solving -7 + -7b = -5 + -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. -7 + -7b + 5b = -5 + -5b + 5b Combine like terms: -7b + 5b = -2b -7 + -2b = -5 + -5b + 5b Combine like terms: -5b + 5b = 0 -7 + -2b = -5 + 0 -7 + -2b = -5 Add '7' to each side of the equation. -7 + 7 + -2b = -5 + 7 Combine like terms: -7 + 7 = 0 0 + -2b = -5 + 7 -2b = -5 + 7 Combine like terms: -5 + 7 = 2 -2b = 2 Divide each side by '-2'. b = -1 Simplifying b = -1
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