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Simplifying 3b + -4(-5 + -1b) = -22 + b 3b + (-5 * -4 + -1b * -4) = -22 + b 3b + (20 + 4b) = -22 + b Reorder the terms: 20 + 3b + 4b = -22 + b Combine like terms: 3b + 4b = 7b 20 + 7b = -22 + b Solving 20 + 7b = -22 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 20 + 7b + -1b = -22 + b + -1b Combine like terms: 7b + -1b = 6b 20 + 6b = -22 + b + -1b Combine like terms: b + -1b = 0 20 + 6b = -22 + 0 20 + 6b = -22 Add '-20' to each side of the equation. 20 + -20 + 6b = -22 + -20 Combine like terms: 20 + -20 = 0 0 + 6b = -22 + -20 6b = -22 + -20 Combine like terms: -22 + -20 = -42 6b = -42 Divide each side by '6'. b = -7 Simplifying b = -7
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