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Simplifying 4w + -2x + -1y + 6 + 14x + -8y = 0 Reorder the terms: 6 + 4w + -2x + 14x + -1y + -8y = 0 Combine like terms: -2x + 14x = 12x 6 + 4w + 12x + -1y + -8y = 0 Combine like terms: -1y + -8y = -9y 6 + 4w + 12x + -9y = 0 Solving 6 + 4w + 12x + -9y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 4w + 12x + -6 + -9y = 0 + -6 Reorder the terms: 6 + -6 + 4w + 12x + -9y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 4w + 12x + -9y = 0 + -6 4w + 12x + -9y = 0 + -6 Combine like terms: 0 + -6 = -6 4w + 12x + -9y = -6 Add '-12x' to each side of the equation. 4w + 12x + -12x + -9y = -6 + -12x Combine like terms: 12x + -12x = 0 4w + 0 + -9y = -6 + -12x 4w + -9y = -6 + -12x Add '9y' to each side of the equation. 4w + -9y + 9y = -6 + -12x + 9y Combine like terms: -9y + 9y = 0 4w + 0 = -6 + -12x + 9y 4w = -6 + -12x + 9y Divide each side by '4'. w = -1.5 + -3x + 2.25y Simplifying w = -1.5 + -3x + 2.25y
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