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Simplifying -175 = 5(7b + -7) Reorder the terms: -175 = 5(-7 + 7b) -175 = (-7 * 5 + 7b * 5) -175 = (-35 + 35b) Solving -175 = -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. -175 + -35b = -35 + 35b + -35b Combine like terms: 35b + -35b = 0 -175 + -35b = -35 + 0 -175 + -35b = -35 Add '175' to each side of the equation. -175 + 175 + -35b = -35 + 175 Combine like terms: -175 + 175 = 0 0 + -35b = -35 + 175 -35b = -35 + 175 Combine like terms: -35 + 175 = 140 -35b = 140 Divide each side by '-35'. b = -4 Simplifying b = -4
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