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Simplifying (7x + -6w) + (5x + 8y) + (2y + 4w) = 0 Reorder the terms: (-6w + 7x) + (5x + 8y) + (2y + 4w) = 0 Remove parenthesis around (-6w + 7x) -6w + 7x + (5x + 8y) + (2y + 4w) = 0 Remove parenthesis around (5x + 8y) -6w + 7x + 5x + 8y + (2y + 4w) = 0 Reorder the terms: -6w + 7x + 5x + 8y + (4w + 2y) = 0 Remove parenthesis around (4w + 2y) -6w + 7x + 5x + 8y + 4w + 2y = 0 Reorder the terms: -6w + 4w + 7x + 5x + 8y + 2y = 0 Combine like terms: -6w + 4w = -2w -2w + 7x + 5x + 8y + 2y = 0 Combine like terms: 7x + 5x = 12x -2w + 12x + 8y + 2y = 0 Combine like terms: 8y + 2y = 10y -2w + 12x + 10y = 0 Solving -2w + 12x + 10y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12x' to each side of the equation. -2w + 12x + -12x + 10y = 0 + -12x Combine like terms: 12x + -12x = 0 -2w + 0 + 10y = 0 + -12x -2w + 10y = 0 + -12x Remove the zero: -2w + 10y = -12x Add '-10y' to each side of the equation. -2w + 10y + -10y = -12x + -10y Combine like terms: 10y + -10y = 0 -2w + 0 = -12x + -10y -2w = -12x + -10y Divide each side by '-2'. w = 6x + 5y Simplifying w = 6x + 5y
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