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Simplifying 6x + -7w + 4x + 7y + 4y + 3w = 0 Reorder the terms: -7w + 3w + 6x + 4x + 7y + 4y = 0 Combine like terms: -7w + 3w = -4w -4w + 6x + 4x + 7y + 4y = 0 Combine like terms: 6x + 4x = 10x -4w + 10x + 7y + 4y = 0 Combine like terms: 7y + 4y = 11y -4w + 10x + 11y = 0 Solving -4w + 10x + 11y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10x' to each side of the equation. -4w + 10x + -10x + 11y = 0 + -10x Combine like terms: 10x + -10x = 0 -4w + 0 + 11y = 0 + -10x -4w + 11y = 0 + -10x Remove the zero: -4w + 11y = -10x Add '-11y' to each side of the equation. -4w + 11y + -11y = -10x + -11y Combine like terms: 11y + -11y = 0 -4w + 0 = -10x + -11y -4w = -10x + -11y Divide each side by '-4'. w = 2.5x + 2.75y Simplifying w = 2.5x + 2.75y
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