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Simplifying 3x + 6(5x + 7b) = 0 Reorder the terms: 3x + 6(7b + 5x) = 0 3x + (7b * 6 + 5x * 6) = 0 3x + (42b + 30x) = 0 Reorder the terms: 42b + 3x + 30x = 0 Combine like terms: 3x + 30x = 33x 42b + 33x = 0 Solving 42b + 33x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-33x' to each side of the equation. 42b + 33x + -33x = 0 + -33x Combine like terms: 33x + -33x = 0 42b + 0 = 0 + -33x 42b = 0 + -33x Remove the zero: 42b = -33x Divide each side by '42'. b = -0.7857142857x Simplifying b = -0.7857142857x
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