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Simplifying (4x + -3y)(-2z) = 0 Remove parenthesis around (-2z) (4x + -3y) * -2z = 0 Reorder the terms for easier multiplication: -2z(4x + -3y) = 0 (4x * -2z + -3y * -2z) = 0 (-8xz + 6yz) = 0 Solving -8xz + 6yz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6yz' to each side of the equation. -8xz + 6yz + -6yz = 0 + -6yz Combine like terms: 6yz + -6yz = 0 -8xz + 0 = 0 + -6yz -8xz = 0 + -6yz Remove the zero: -8xz = -6yz Divide each side by '-8z'. x = 0.75y Simplifying x = 0.75y
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