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Simplifying -7(-2b + 8) = -11 + 5b Reorder the terms: -7(8 + -2b) = -11 + 5b (8 * -7 + -2b * -7) = -11 + 5b (-56 + 14b) = -11 + 5b Solving -56 + 14b = -11 + 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. -56 + 14b + -5b = -11 + 5b + -5b Combine like terms: 14b + -5b = 9b -56 + 9b = -11 + 5b + -5b Combine like terms: 5b + -5b = 0 -56 + 9b = -11 + 0 -56 + 9b = -11 Add '56' to each side of the equation. -56 + 56 + 9b = -11 + 56 Combine like terms: -56 + 56 = 0 0 + 9b = -11 + 56 9b = -11 + 56 Combine like terms: -11 + 56 = 45 9b = 45 Divide each side by '9'. b = 5 Simplifying b = 5
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