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Simplifying 3x + -4b + 3c = x + 2b + -9c Reorder the terms: -4b + 3c + 3x = x + 2b + -9c Reorder the terms: -4b + 3c + 3x = 2b + -9c + x Solving -4b + 3c + 3x = 2b + -9c + x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -4b + 3c + -2b + 3x = 2b + -9c + -2b + x Reorder the terms: -4b + -2b + 3c + 3x = 2b + -9c + -2b + x Combine like terms: -4b + -2b = -6b -6b + 3c + 3x = 2b + -9c + -2b + x Reorder the terms: -6b + 3c + 3x = 2b + -2b + -9c + x Combine like terms: 2b + -2b = 0 -6b + 3c + 3x = 0 + -9c + x -6b + 3c + 3x = -9c + x Add '-3c' to each side of the equation. -6b + 3c + -3c + 3x = -9c + -3c + x Combine like terms: 3c + -3c = 0 -6b + 0 + 3x = -9c + -3c + x -6b + 3x = -9c + -3c + x Combine like terms: -9c + -3c = -12c -6b + 3x = -12c + x Add '-3x' to each side of the equation. -6b + 3x + -3x = -12c + x + -3x Combine like terms: 3x + -3x = 0 -6b + 0 = -12c + x + -3x -6b = -12c + x + -3x Combine like terms: x + -3x = -2x -6b = -12c + -2x Divide each side by '-6'. b = 2c + 0.3333333333x Simplifying b = 2c + 0.3333333333x
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