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Simplifying 5(3x + -5y + 2z) = 0 (3x * 5 + -5y * 5 + 2z * 5) = 0 (15x + -25y + 10z) = 0 Solving 15x + -25y + 10z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25y' to each side of the equation. 15x + -25y + 25y + 10z = 0 + 25y Combine like terms: -25y + 25y = 0 15x + 0 + 10z = 0 + 25y 15x + 10z = 0 + 25y Remove the zero: 15x + 10z = 25y Add '-10z' to each side of the equation. 15x + 10z + -10z = 25y + -10z Combine like terms: 10z + -10z = 0 15x + 0 = 25y + -10z 15x = 25y + -10z Divide each side by '15'. x = 1.666666667y + -0.6666666667z Simplifying x = 1.666666667y + -0.6666666667z
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