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Simplifying 5x + -3y + 14w + -4y + -6w + -6x = 0 Reorder the terms: 14w + -6w + 5x + -6x + -3y + -4y = 0 Combine like terms: 14w + -6w = 8w 8w + 5x + -6x + -3y + -4y = 0 Combine like terms: 5x + -6x = -1x 8w + -1x + -3y + -4y = 0 Combine like terms: -3y + -4y = -7y 8w + -1x + -7y = 0 Solving 8w + -1x + -7y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'x' to each side of the equation. 8w + -1x + x + -7y = 0 + x Combine like terms: -1x + x = 0 8w + 0 + -7y = 0 + x 8w + -7y = 0 + x Remove the zero: 8w + -7y = x Add '7y' to each side of the equation. 8w + -7y + 7y = x + 7y Combine like terms: -7y + 7y = 0 8w + 0 = x + 7y 8w = x + 7y Divide each side by '8'. w = 0.125x + 0.875y Simplifying w = 0.125x + 0.875y
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