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Simplifying 35 + -6b = -9(5b + -2) Reorder the terms: 35 + -6b = -9(-2 + 5b) 35 + -6b = (-2 * -9 + 5b * -9) 35 + -6b = (18 + -45b) Solving 35 + -6b = 18 + -45b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '45b' to each side of the equation. 35 + -6b + 45b = 18 + -45b + 45b Combine like terms: -6b + 45b = 39b 35 + 39b = 18 + -45b + 45b Combine like terms: -45b + 45b = 0 35 + 39b = 18 + 0 35 + 39b = 18 Add '-35' to each side of the equation. 35 + -35 + 39b = 18 + -35 Combine like terms: 35 + -35 = 0 0 + 39b = 18 + -35 39b = 18 + -35 Combine like terms: 18 + -35 = -17 39b = -17 Divide each side by '39'. b = -0.4358974359 Simplifying b = -0.4358974359
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