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Simplifying -8(7x + -2y + 6z) = 0 (7x * -8 + -2y * -8 + 6z * -8) = 0 (-56x + 16y + -48z) = 0 Solving -56x + 16y + -48z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16y' to each side of the equation. -56x + 16y + -16y + -48z = 0 + -16y Combine like terms: 16y + -16y = 0 -56x + 0 + -48z = 0 + -16y -56x + -48z = 0 + -16y Remove the zero: -56x + -48z = -16y Add '48z' to each side of the equation. -56x + -48z + 48z = -16y + 48z Combine like terms: -48z + 48z = 0 -56x + 0 = -16y + 48z -56x = -16y + 48z Divide each side by '-56'. x = 0.2857142857y + -0.8571428571z Simplifying x = 0.2857142857y + -0.8571428571z
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