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Simplifying 3x + -15y + 24z = 0 Solving 3x + -15y + 24z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15y' to each side of the equation. 3x + -15y + 15y + 24z = 0 + 15y Combine like terms: -15y + 15y = 0 3x + 0 + 24z = 0 + 15y 3x + 24z = 0 + 15y Remove the zero: 3x + 24z = 15y Add '-24z' to each side of the equation. 3x + 24z + -24z = 15y + -24z Combine like terms: 24z + -24z = 0 3x + 0 = 15y + -24z 3x = 15y + -24z Divide each side by '3'. x = 5y + -8z Simplifying x = 5y + -8z
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