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Simplifying 4x(-2) + -3y(2) + -8z(-1) = 0 Reorder the terms for easier multiplication: 4 * -2x + -3y(2) + -8z(-1) = 0 Multiply 4 * -2 -8x + -3y(2) + -8z(-1) = 0 Reorder the terms for easier multiplication: -8x + -3 * 2y + -8z(-1) = 0 Multiply -3 * 2 -8x + -6y + -8z(-1) = 0 Reorder the terms for easier multiplication: -8x + -6y + -8 * -1z = 0 Multiply -8 * -1 -8x + -6y + 8z = 0 Solving -8x + -6y + 8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. -8x + -6y + 6y + 8z = 0 + 6y Combine like terms: -6y + 6y = 0 -8x + 0 + 8z = 0 + 6y -8x + 8z = 0 + 6y Remove the zero: -8x + 8z = 6y Add '-8z' to each side of the equation. -8x + 8z + -8z = 6y + -8z Combine like terms: 8z + -8z = 0 -8x + 0 = 6y + -8z -8x = 6y + -8z Divide each side by '-8'. x = -0.75y + z Simplifying x = -0.75y + z
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