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Simplifying -23 + 8b = 5(b + -7) Reorder the terms: -23 + 8b = 5(-7 + b) -23 + 8b = (-7 * 5 + b * 5) -23 + 8b = (-35 + 5b) Solving -23 + 8b = -35 + 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. -23 + 8b + -5b = -35 + 5b + -5b Combine like terms: 8b + -5b = 3b -23 + 3b = -35 + 5b + -5b Combine like terms: 5b + -5b = 0 -23 + 3b = -35 + 0 -23 + 3b = -35 Add '23' to each side of the equation. -23 + 23 + 3b = -35 + 23 Combine like terms: -23 + 23 = 0 0 + 3b = -35 + 23 3b = -35 + 23 Combine like terms: -35 + 23 = -12 3b = -12 Divide each side by '3'. b = -4 Simplifying b = -4
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