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Simplifying 5(6 + -1b) + -2(-2 + -9b) = 0 (6 * 5 + -1b * 5) + -2(-2 + -9b) = 0 (30 + -5b) + -2(-2 + -9b) = 0 30 + -5b + (-2 * -2 + -9b * -2) = 0 30 + -5b + (4 + 18b) = 0 Reorder the terms: 30 + 4 + -5b + 18b = 0 Combine like terms: 30 + 4 = 34 34 + -5b + 18b = 0 Combine like terms: -5b + 18b = 13b 34 + 13b = 0 Solving 34 + 13b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 13b = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 13b = 0 + -34 13b = 0 + -34 Combine like terms: 0 + -34 = -34 13b = -34 Divide each side by '13'. b = -2.615384615 Simplifying b = -2.615384615
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