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Simplifying 11 + 8b = -7(b + -8) Reorder the terms: 11 + 8b = -7(-8 + b) 11 + 8b = (-8 * -7 + b * -7) 11 + 8b = (56 + -7b) Solving 11 + 8b = 56 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. 11 + 8b + 7b = 56 + -7b + 7b Combine like terms: 8b + 7b = 15b 11 + 15b = 56 + -7b + 7b Combine like terms: -7b + 7b = 0 11 + 15b = 56 + 0 11 + 15b = 56 Add '-11' to each side of the equation. 11 + -11 + 15b = 56 + -11 Combine like terms: 11 + -11 = 0 0 + 15b = 56 + -11 15b = 56 + -11 Combine like terms: 56 + -11 = 45 15b = 45 Divide each side by '15'. b = 3 Simplifying b = 3
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