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Simplifying 15x + 35y + -40z = 0 Solving 15x + 35y + -40z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35y' to each side of the equation. 15x + 35y + -35y + -40z = 0 + -35y Combine like terms: 35y + -35y = 0 15x + 0 + -40z = 0 + -35y 15x + -40z = 0 + -35y Remove the zero: 15x + -40z = -35y Add '40z' to each side of the equation. 15x + -40z + 40z = -35y + 40z Combine like terms: -40z + 40z = 0 15x + 0 = -35y + 40z 15x = -35y + 40z Divide each side by '15'. x = -2.333333333y + 2.666666667z Simplifying x = -2.333333333y + 2.666666667z
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