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Simplifying -27 + 6b = 5(b + -7) Reorder the terms: -27 + 6b = 5(-7 + b) -27 + 6b = (-7 * 5 + b * 5) -27 + 6b = (-35 + 5b) Solving -27 + 6b = -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. -27 + 6b + -5b = -35 + 5b + -5b Combine like terms: 6b + -5b = 1b -27 + 1b = -35 + 5b + -5b Combine like terms: 5b + -5b = 0 -27 + 1b = -35 + 0 -27 + 1b = -35 Add '27' to each side of the equation. -27 + 27 + 1b = -35 + 27 Combine like terms: -27 + 27 = 0 0 + 1b = -35 + 27 1b = -35 + 27 Combine like terms: -35 + 27 = -8 1b = -8 Divide each side by '1'. b = -8 Simplifying b = -8
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