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Simplifying 34 + 9b = -6(4b + -5) Reorder the terms: 34 + 9b = -6(-5 + 4b) 34 + 9b = (-5 * -6 + 4b * -6) 34 + 9b = (30 + -24b) Solving 34 + 9b = 30 + -24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24b' to each side of the equation. 34 + 9b + 24b = 30 + -24b + 24b Combine like terms: 9b + 24b = 33b 34 + 33b = 30 + -24b + 24b Combine like terms: -24b + 24b = 0 34 + 33b = 30 + 0 34 + 33b = 30 Add '-34' to each side of the equation. 34 + -34 + 33b = 30 + -34 Combine like terms: 34 + -34 = 0 0 + 33b = 30 + -34 33b = 30 + -34 Combine like terms: 30 + -34 = -4 33b = -4 Divide each side by '33'. b = -0.1212121212 Simplifying b = -0.1212121212
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