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Simplifying -5(b + 1) = -2 + -6b Reorder the terms: -5(1 + b) = -2 + -6b (1 * -5 + b * -5) = -2 + -6b (-5 + -5b) = -2 + -6b Solving -5 + -5b = -2 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -5 + -5b + 6b = -2 + -6b + 6b Combine like terms: -5b + 6b = 1b -5 + 1b = -2 + -6b + 6b Combine like terms: -6b + 6b = 0 -5 + 1b = -2 + 0 -5 + 1b = -2 Add '5' to each side of the equation. -5 + 5 + 1b = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 1b = -2 + 5 1b = -2 + 5 Combine like terms: -2 + 5 = 3 1b = 3 Divide each side by '1'. b = 3 Simplifying b = 3
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