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Simplifying 6x + -1y + -1z + -1w = -1z Reorder the terms: -1w + 6x + -1y + -1z = -1z Add 'z' to each side of the equation. -1w + 6x + -1y + -1z + z = -1z + z Combine like terms: -1z + z = 0 -1w + 6x + -1y + 0 = -1z + z -1w + 6x + -1y = -1z + z Combine like terms: -1z + z = 0 -1w + 6x + -1y = 0 Solving -1w + 6x + -1y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6x' to each side of the equation. -1w + 6x + -6x + -1y = 0 + -6x Combine like terms: 6x + -6x = 0 -1w + 0 + -1y = 0 + -6x -1w + -1y = 0 + -6x Remove the zero: -1w + -1y = -6x Add 'y' to each side of the equation. -1w + -1y + y = -6x + y Combine like terms: -1y + y = 0 -1w + 0 = -6x + y -1w = -6x + y Divide each side by '-1'. w = 6x + -1y Simplifying w = 6x + -1y
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