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Simplifying 4w + x + -11y + 14z + -18 = 0 Reorder the terms: -18 + 4w + x + -11y + 14z = 0 Solving -18 + 4w + x + -11y + 14z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 4w + x + -11y + 18 + 14z = 0 + 18 Reorder the terms: -18 + 18 + 4w + x + -11y + 14z = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 4w + x + -11y + 14z = 0 + 18 4w + x + -11y + 14z = 0 + 18 Combine like terms: 0 + 18 = 18 4w + x + -11y + 14z = 18 Add '-1x' to each side of the equation. 4w + x + -11y + -1x + 14z = 18 + -1x Reorder the terms: 4w + x + -1x + -11y + 14z = 18 + -1x Combine like terms: x + -1x = 0 4w + 0 + -11y + 14z = 18 + -1x 4w + -11y + 14z = 18 + -1x Add '11y' to each side of the equation. 4w + -11y + 11y + 14z = 18 + -1x + 11y Combine like terms: -11y + 11y = 0 4w + 0 + 14z = 18 + -1x + 11y 4w + 14z = 18 + -1x + 11y Add '-14z' to each side of the equation. 4w + 14z + -14z = 18 + -1x + 11y + -14z Combine like terms: 14z + -14z = 0 4w + 0 = 18 + -1x + 11y + -14z 4w = 18 + -1x + 11y + -14z Divide each side by '4'. w = 4.5 + -0.25x + 2.75y + -3.5z Simplifying w = 4.5 + -0.25x + 2.75y + -3.5z
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