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Simplifying -6(5x + -8y + 7z) = 0 (5x * -6 + -8y * -6 + 7z * -6) = 0 (-30x + 48y + -42z) = 0 Solving -30x + 48y + -42z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48y' to each side of the equation. -30x + 48y + -48y + -42z = 0 + -48y Combine like terms: 48y + -48y = 0 -30x + 0 + -42z = 0 + -48y -30x + -42z = 0 + -48y Remove the zero: -30x + -42z = -48y Add '42z' to each side of the equation. -30x + -42z + 42z = -48y + 42z Combine like terms: -42z + 42z = 0 -30x + 0 = -48y + 42z -30x = -48y + 42z Divide each side by '-30'. x = 1.6y + -1.4z Simplifying x = 1.6y + -1.4z
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