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Simplifying -6(b + -7) = -2 + 5b Reorder the terms: -6(-7 + b) = -2 + 5b (-7 * -6 + b * -6) = -2 + 5b (42 + -6b) = -2 + 5b Solving 42 + -6b = -2 + 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. 42 + -6b + -5b = -2 + 5b + -5b Combine like terms: -6b + -5b = -11b 42 + -11b = -2 + 5b + -5b Combine like terms: 5b + -5b = 0 42 + -11b = -2 + 0 42 + -11b = -2 Add '-42' to each side of the equation. 42 + -42 + -11b = -2 + -42 Combine like terms: 42 + -42 = 0 0 + -11b = -2 + -42 -11b = -2 + -42 Combine like terms: -2 + -42 = -44 -11b = -44 Divide each side by '-11'. b = 4 Simplifying b = 4
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