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Simplifying 4(7x + 3y + -2z) = 0 (7x * 4 + 3y * 4 + -2z * 4) = 0 (28x + 12y + -8z) = 0 Solving 28x + 12y + -8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 28x + 12y + -12y + -8z = 0 + -12y Combine like terms: 12y + -12y = 0 28x + 0 + -8z = 0 + -12y 28x + -8z = 0 + -12y Remove the zero: 28x + -8z = -12y Add '8z' to each side of the equation. 28x + -8z + 8z = -12y + 8z Combine like terms: -8z + 8z = 0 28x + 0 = -12y + 8z 28x = -12y + 8z Divide each side by '28'. x = -0.4285714286y + 0.2857142857z Simplifying x = -0.4285714286y + 0.2857142857z
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