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