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Simplifying 3[5x + -4(y + -1z)] = 0 3[5x + (y * -4 + -1z * -4)] = 0 3[5x + (-4y + 4z)] = 0 [5x * 3 + -4y * 3 + 4z * 3] = 0 [15x + -12y + 12z] = 0 Solving 15x + -12y + 12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. 15x + -12y + 12y + 12z = 0 + 12y Combine like terms: -12y + 12y = 0 15x + 0 + 12z = 0 + 12y 15x + 12z = 0 + 12y Remove the zero: 15x + 12z = 12y Add '-12z' to each side of the equation. 15x + 12z + -12z = 12y + -12z Combine like terms: 12z + -12z = 0 15x + 0 = 12y + -12z 15x = 12y + -12z Divide each side by '15'. x = 0.8y + -0.8z Simplifying x = 0.8y + -0.8z
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