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Simplifying -2(b + 1) = 3b + -22 Reorder the terms: -2(1 + b) = 3b + -22 (1 * -2 + b * -2) = 3b + -22 (-2 + -2b) = 3b + -22 Reorder the terms: -2 + -2b = -22 + 3b Solving -2 + -2b = -22 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -2 + -2b + -3b = -22 + 3b + -3b Combine like terms: -2b + -3b = -5b -2 + -5b = -22 + 3b + -3b Combine like terms: 3b + -3b = 0 -2 + -5b = -22 + 0 -2 + -5b = -22 Add '2' to each side of the equation. -2 + 2 + -5b = -22 + 2 Combine like terms: -2 + 2 = 0 0 + -5b = -22 + 2 -5b = -22 + 2 Combine like terms: -22 + 2 = -20 -5b = -20 Divide each side by '-5'. b = 4 Simplifying b = 4
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