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Simplifying -1(4b + -5) + -2b = 15 + -1b Reorder the terms: -1(-5 + 4b) + -2b = 15 + -1b (-5 * -1 + 4b * -1) + -2b = 15 + -1b (5 + -4b) + -2b = 15 + -1b Combine like terms: -4b + -2b = -6b 5 + -6b = 15 + -1b Solving 5 + -6b = 15 + -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. 5 + -6b + b = 15 + -1b + b Combine like terms: -6b + b = -5b 5 + -5b = 15 + -1b + b Combine like terms: -1b + b = 0 5 + -5b = 15 + 0 5 + -5b = 15 Add '-5' to each side of the equation. 5 + -5 + -5b = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -5b = 15 + -5 -5b = 15 + -5 Combine like terms: 15 + -5 = 10 -5b = 10 Divide each side by '-5'. b = -2 Simplifying b = -2
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