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Simplifying (4x + 5y + -6z) * 2 = 0 Reorder the terms for easier multiplication: 2(4x + 5y + -6z) = 0 (4x * 2 + 5y * 2 + -6z * 2) = 0 (8x + 10y + -12z) = 0 Solving 8x + 10y + -12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 8x + 10y + -10y + -12z = 0 + -10y Combine like terms: 10y + -10y = 0 8x + 0 + -12z = 0 + -10y 8x + -12z = 0 + -10y Remove the zero: 8x + -12z = -10y Add '12z' to each side of the equation. 8x + -12z + 12z = -10y + 12z Combine like terms: -12z + 12z = 0 8x + 0 = -10y + 12z 8x = -10y + 12z Divide each side by '8'. x = -1.25y + 1.5z Simplifying x = -1.25y + 1.5z
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