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Simplifying -7(1 + -7b) = -5(7 + -7b) (1 * -7 + -7b * -7) = -5(7 + -7b) (-7 + 49b) = -5(7 + -7b) -7 + 49b = (7 * -5 + -7b * -5) -7 + 49b = (-35 + 35b) Solving -7 + 49b = -35 + 35b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-35b' to each side of the equation. -7 + 49b + -35b = -35 + 35b + -35b Combine like terms: 49b + -35b = 14b -7 + 14b = -35 + 35b + -35b Combine like terms: 35b + -35b = 0 -7 + 14b = -35 + 0 -7 + 14b = -35 Add '7' to each side of the equation. -7 + 7 + 14b = -35 + 7 Combine like terms: -7 + 7 = 0 0 + 14b = -35 + 7 14b = -35 + 7 Combine like terms: -35 + 7 = -28 14b = -28 Divide each side by '14'. b = -2 Simplifying b = -2
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