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Simplifying 8x + -5z + 7y + 7y + -3z = 0 Reorder the terms: 8x + 7y + 7y + -5z + -3z = 0 Combine like terms: 7y + 7y = 14y 8x + 14y + -5z + -3z = 0 Combine like terms: -5z + -3z = -8z 8x + 14y + -8z = 0 Solving 8x + 14y + -8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14y' to each side of the equation. 8x + 14y + -14y + -8z = 0 + -14y Combine like terms: 14y + -14y = 0 8x + 0 + -8z = 0 + -14y 8x + -8z = 0 + -14y Remove the zero: 8x + -8z = -14y Add '8z' to each side of the equation. 8x + -8z + 8z = -14y + 8z Combine like terms: -8z + 8z = 0 8x + 0 = -14y + 8z 8x = -14y + 8z Divide each side by '8'. x = -1.75y + z Simplifying x = -1.75y + z
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