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Simplifying 8y + 5y + 7z + -3x + 4z + -6y = 0 Reorder the terms: -3x + 8y + 5y + -6y + 7z + 4z = 0 Combine like terms: 8y + 5y = 13y -3x + 13y + -6y + 7z + 4z = 0 Combine like terms: 13y + -6y = 7y -3x + 7y + 7z + 4z = 0 Combine like terms: 7z + 4z = 11z -3x + 7y + 11z = 0 Solving -3x + 7y + 11z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. -3x + 7y + -7y + 11z = 0 + -7y Combine like terms: 7y + -7y = 0 -3x + 0 + 11z = 0 + -7y -3x + 11z = 0 + -7y Remove the zero: -3x + 11z = -7y Add '-11z' to each side of the equation. -3x + 11z + -11z = -7y + -11z Combine like terms: 11z + -11z = 0 -3x + 0 = -7y + -11z -3x = -7y + -11z Divide each side by '-3'. x = 2.333333333y + 3.666666667z Simplifying x = 2.333333333y + 3.666666667z
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