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Simplifying -6(7x + -2y + 3z) = 0 (7x * -6 + -2y * -6 + 3z * -6) = 0 (-42x + 12y + -18z) = 0 Solving -42x + 12y + -18z = 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. -42x + 12y + -12y + -18z = 0 + -12y Combine like terms: 12y + -12y = 0 -42x + 0 + -18z = 0 + -12y -42x + -18z = 0 + -12y Remove the zero: -42x + -18z = -12y Add '18z' to each side of the equation. -42x + -18z + 18z = -12y + 18z Combine like terms: -18z + 18z = 0 -42x + 0 = -12y + 18z -42x = -12y + 18z Divide each side by '-42'. x = 0.2857142857y + -0.4285714286z Simplifying x = 0.2857142857y + -0.4285714286z
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