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Simplifying -6(b + 1) = -11 + -5b Reorder the terms: -6(1 + b) = -11 + -5b (1 * -6 + b * -6) = -11 + -5b (-6 + -6b) = -11 + -5b Solving -6 + -6b = -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. -6 + -6b + 5b = -11 + -5b + 5b Combine like terms: -6b + 5b = -1b -6 + -1b = -11 + -5b + 5b Combine like terms: -5b + 5b = 0 -6 + -1b = -11 + 0 -6 + -1b = -11 Add '6' to each side of the equation. -6 + 6 + -1b = -11 + 6 Combine like terms: -6 + 6 = 0 0 + -1b = -11 + 6 -1b = -11 + 6 Combine like terms: -11 + 6 = -5 -1b = -5 Divide each side by '-1'. b = 5 Simplifying b = 5
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