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Simplifying 3w + 4x + -1y + 5w + -18x + -4y = 0 Reorder the terms: 3w + 5w + 4x + -18x + -1y + -4y = 0 Combine like terms: 3w + 5w = 8w 8w + 4x + -18x + -1y + -4y = 0 Combine like terms: 4x + -18x = -14x 8w + -14x + -1y + -4y = 0 Combine like terms: -1y + -4y = -5y 8w + -14x + -5y = 0 Solving 8w + -14x + -5y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14x' to each side of the equation. 8w + -14x + 14x + -5y = 0 + 14x Combine like terms: -14x + 14x = 0 8w + 0 + -5y = 0 + 14x 8w + -5y = 0 + 14x Remove the zero: 8w + -5y = 14x Add '5y' to each side of the equation. 8w + -5y + 5y = 14x + 5y Combine like terms: -5y + 5y = 0 8w + 0 = 14x + 5y 8w = 14x + 5y Divide each side by '8'. w = 1.75x + 0.625y Simplifying w = 1.75x + 0.625y
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