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Simplifying (9x + -6w) + (4x + 8y) + (4y + 4w) = 0 Reorder the terms: (-6w + 9x) + (4x + 8y) + (4y + 4w) = 0 Remove parenthesis around (-6w + 9x) -6w + 9x + (4x + 8y) + (4y + 4w) = 0 Remove parenthesis around (4x + 8y) -6w + 9x + 4x + 8y + (4y + 4w) = 0 Reorder the terms: -6w + 9x + 4x + 8y + (4w + 4y) = 0 Remove parenthesis around (4w + 4y) -6w + 9x + 4x + 8y + 4w + 4y = 0 Reorder the terms: -6w + 4w + 9x + 4x + 8y + 4y = 0 Combine like terms: -6w + 4w = -2w -2w + 9x + 4x + 8y + 4y = 0 Combine like terms: 9x + 4x = 13x -2w + 13x + 8y + 4y = 0 Combine like terms: 8y + 4y = 12y -2w + 13x + 12y = 0 Solving -2w + 13x + 12y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13x' to each side of the equation. -2w + 13x + -13x + 12y = 0 + -13x Combine like terms: 13x + -13x = 0 -2w + 0 + 12y = 0 + -13x -2w + 12y = 0 + -13x Remove the zero: -2w + 12y = -13x Add '-12y' to each side of the equation. -2w + 12y + -12y = -13x + -12y Combine like terms: 12y + -12y = 0 -2w + 0 = -13x + -12y -2w = -13x + -12y Divide each side by '-2'. w = 6.5x + 6y Simplifying w = 6.5x + 6y
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