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Simplifying 4x(a + -2b) = 0 (a * 4x + -2b * 4x) = 0 (4ax + -8bx) = 0 Solving 4ax + -8bx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8bx' to each side of the equation. 4ax + -8bx + 8bx = 0 + 8bx Combine like terms: -8bx + 8bx = 0 4ax + 0 = 0 + 8bx 4ax = 0 + 8bx Remove the zero: 4ax = 8bx Divide each side by '4x'. a = 2b Simplifying a = 2b
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