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Simplifying 3x + -1(4b + -3c) + -9x = 0 3x + (4b * -1 + -3c * -1) + -9x = 0 3x + (-4b + 3c) + -9x = 0 Reorder the terms: -4b + 3c + 3x + -9x = 0 Combine like terms: 3x + -9x = -6x -4b + 3c + -6x = 0 Solving -4b + 3c + -6x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3c' to each side of the equation. -4b + 3c + -3c + -6x = 0 + -3c Combine like terms: 3c + -3c = 0 -4b + 0 + -6x = 0 + -3c -4b + -6x = 0 + -3c Remove the zero: -4b + -6x = -3c Add '6x' to each side of the equation. -4b + -6x + 6x = -3c + 6x Combine like terms: -6x + 6x = 0 -4b + 0 = -3c + 6x -4b = -3c + 6x Divide each side by '-4'. b = 0.75c + -1.5x Simplifying b = 0.75c + -1.5x
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