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Simplifying 4(-5b + 2) + -5 = 22 + -1b Reorder the terms: 4(2 + -5b) + -5 = 22 + -1b (2 * 4 + -5b * 4) + -5 = 22 + -1b (8 + -20b) + -5 = 22 + -1b Reorder the terms: 8 + -5 + -20b = 22 + -1b Combine like terms: 8 + -5 = 3 3 + -20b = 22 + -1b Solving 3 + -20b = 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. 3 + -20b + b = 22 + -1b + b Combine like terms: -20b + b = -19b 3 + -19b = 22 + -1b + b Combine like terms: -1b + b = 0 3 + -19b = 22 + 0 3 + -19b = 22 Add '-3' to each side of the equation. 3 + -3 + -19b = 22 + -3 Combine like terms: 3 + -3 = 0 0 + -19b = 22 + -3 -19b = 22 + -3 Combine like terms: 22 + -3 = 19 -19b = 19 Divide each side by '-19'. b = -1 Simplifying b = -1
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