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Simplifying -5(b + 6) + -2 = -11 + -8b Reorder the terms: -5(6 + b) + -2 = -11 + -8b (6 * -5 + b * -5) + -2 = -11 + -8b (-30 + -5b) + -2 = -11 + -8b Reorder the terms: -30 + -2 + -5b = -11 + -8b Combine like terms: -30 + -2 = -32 -32 + -5b = -11 + -8b Solving -32 + -5b = -11 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -32 + -5b + 8b = -11 + -8b + 8b Combine like terms: -5b + 8b = 3b -32 + 3b = -11 + -8b + 8b Combine like terms: -8b + 8b = 0 -32 + 3b = -11 + 0 -32 + 3b = -11 Add '32' to each side of the equation. -32 + 32 + 3b = -11 + 32 Combine like terms: -32 + 32 = 0 0 + 3b = -11 + 32 3b = -11 + 32 Combine like terms: -11 + 32 = 21 3b = 21 Divide each side by '3'. b = 7 Simplifying b = 7
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