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Simplifying (3x + y + -1z)(-5) = 0 Reorder the terms for easier multiplication: -5(3x + y + -1z) = 0 (3x * -5 + y * -5 + -1z * -5) = 0 (-15x + -5y + 5z) = 0 Solving -15x + -5y + 5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. -15x + -5y + 5y + 5z = 0 + 5y Combine like terms: -5y + 5y = 0 -15x + 0 + 5z = 0 + 5y -15x + 5z = 0 + 5y Remove the zero: -15x + 5z = 5y Add '-5z' to each side of the equation. -15x + 5z + -5z = 5y + -5z Combine like terms: 5z + -5z = 0 -15x + 0 = 5y + -5z -15x = 5y + -5z Divide each side by '-15'. x = -0.3333333333y + 0.3333333333z Simplifying x = -0.3333333333y + 0.3333333333z
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