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Simplifying -3(b + 8) = -22 + -1b Reorder the terms: -3(8 + b) = -22 + -1b (8 * -3 + b * -3) = -22 + -1b (-24 + -3b) = -22 + -1b Solving -24 + -3b = -22 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -24 + -3b + b = -22 + -1b + b Combine like terms: -3b + b = -2b -24 + -2b = -22 + -1b + b Combine like terms: -1b + b = 0 -24 + -2b = -22 + 0 -24 + -2b = -22 Add '24' to each side of the equation. -24 + 24 + -2b = -22 + 24 Combine like terms: -24 + 24 = 0 0 + -2b = -22 + 24 -2b = -22 + 24 Combine like terms: -22 + 24 = 2 -2b = 2 Divide each side by '-2'. b = -1 Simplifying b = -1
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