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Simplifying -1(6w + 12y + -13z) = 0 (6w * -1 + 12y * -1 + -13z * -1) = 0 (-6w + -12y + 13z) = 0 Solving -6w + -12y + 13z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12y' to each side of the equation. -6w + -12y + 12y + 13z = 0 + 12y Combine like terms: -12y + 12y = 0 -6w + 0 + 13z = 0 + 12y -6w + 13z = 0 + 12y Remove the zero: -6w + 13z = 12y Add '-13z' to each side of the equation. -6w + 13z + -13z = 12y + -13z Combine like terms: 13z + -13z = 0 -6w + 0 = 12y + -13z -6w = 12y + -13z Divide each side by '-6'. w = -2y + 2.166666667z Simplifying w = -2y + 2.166666667z
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