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Simplifying -126 = 7(5b + -8) Reorder the terms: -126 = 7(-8 + 5b) -126 = (-8 * 7 + 5b * 7) -126 = (-56 + 35b) Solving -126 = -56 + 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. -126 + -35b = -56 + 35b + -35b Combine like terms: 35b + -35b = 0 -126 + -35b = -56 + 0 -126 + -35b = -56 Add '126' to each side of the equation. -126 + 126 + -35b = -56 + 126 Combine like terms: -126 + 126 = 0 0 + -35b = -56 + 126 -35b = -56 + 126 Combine like terms: -56 + 126 = 70 -35b = 70 Divide each side by '-35'. b = -2 Simplifying b = -2
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