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Simplifying 12ax + 20bx + 32cx = 0 Solving 12ax + 20bx + 32cx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20bx' to each side of the equation. 12ax + 20bx + -20bx + 32cx = 0 + -20bx Combine like terms: 20bx + -20bx = 0 12ax + 0 + 32cx = 0 + -20bx 12ax + 32cx = 0 + -20bx Remove the zero: 12ax + 32cx = -20bx Add '-32cx' to each side of the equation. 12ax + 32cx + -32cx = -20bx + -32cx Combine like terms: 32cx + -32cx = 0 12ax + 0 = -20bx + -32cx 12ax = -20bx + -32cx Divide each side by '12x'. a = -1.666666667b + -2.666666667c Simplifying a = -1.666666667b + -2.666666667c
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