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Simplifying 4x + -3y + 10w + 4y + -2w + 7x = 0 Reorder the terms: 10w + -2w + 4x + 7x + -3y + 4y = 0 Combine like terms: 10w + -2w = 8w 8w + 4x + 7x + -3y + 4y = 0 Combine like terms: 4x + 7x = 11x 8w + 11x + -3y + 4y = 0 Combine like terms: -3y + 4y = 1y 8w + 11x + 1y = 0 Solving 8w + 11x + 1y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11x' to each side of the equation. 8w + 11x + -11x + 1y = 0 + -11x Combine like terms: 11x + -11x = 0 8w + 0 + 1y = 0 + -11x 8w + 1y = 0 + -11x Remove the zero: 8w + 1y = -11x Add '-1y' to each side of the equation. 8w + 1y + -1y = -11x + -1y Combine like terms: 1y + -1y = 0 8w + 0 = -11x + -1y 8w = -11x + -1y Divide each side by '8'. w = -1.375x + -0.125y Simplifying w = -1.375x + -0.125y
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