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Simplifying (6x + -7w) + (4y + 5w) + (4x + 7y) = 0 Reorder the terms: (-7w + 6x) + (4y + 5w) + (4x + 7y) = 0 Remove parenthesis around (-7w + 6x) -7w + 6x + (4y + 5w) + (4x + 7y) = 0 Reorder the terms: -7w + 6x + (5w + 4y) + (4x + 7y) = 0 Remove parenthesis around (5w + 4y) -7w + 6x + 5w + 4y + (4x + 7y) = 0 Remove parenthesis around (4x + 7y) -7w + 6x + 5w + 4y + 4x + 7y = 0 Reorder the terms: -7w + 5w + 6x + 4x + 4y + 7y = 0 Combine like terms: -7w + 5w = -2w -2w + 6x + 4x + 4y + 7y = 0 Combine like terms: 6x + 4x = 10x -2w + 10x + 4y + 7y = 0 Combine like terms: 4y + 7y = 11y -2w + 10x + 11y = 0 Solving -2w + 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. -2w + 10x + -10x + 11y = 0 + -10x Combine like terms: 10x + -10x = 0 -2w + 0 + 11y = 0 + -10x -2w + 11y = 0 + -10x Remove the zero: -2w + 11y = -10x Add '-11y' to each side of the equation. -2w + 11y + -11y = -10x + -11y Combine like terms: 11y + -11y = 0 -2w + 0 = -10x + -11y -2w = -10x + -11y Divide each side by '-2'. w = 5x + 5.5y Simplifying w = 5x + 5.5y
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