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Simplifying 4x + 6(5b + 3x) + -6b = 0 4x + (5b * 6 + 3x * 6) + -6b = 0 4x + (30b + 18x) + -6b = 0 Reorder the terms: 30b + -6b + 4x + 18x = 0 Combine like terms: 30b + -6b = 24b 24b + 4x + 18x = 0 Combine like terms: 4x + 18x = 22x 24b + 22x = 0 Solving 24b + 22x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-22x' to each side of the equation. 24b + 22x + -22x = 0 + -22x Combine like terms: 22x + -22x = 0 24b + 0 = 0 + -22x 24b = 0 + -22x Remove the zero: 24b = -22x Divide each side by '24'. b = -0.9166666667x Simplifying b = -0.9166666667x
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