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Simplifying 6x + -7w + 5x + 8y + 4y + 5w = 0 Reorder the terms: -7w + 5w + 6x + 5x + 8y + 4y = 0 Combine like terms: -7w + 5w = -2w -2w + 6x + 5x + 8y + 4y = 0 Combine like terms: 6x + 5x = 11x -2w + 11x + 8y + 4y = 0 Combine like terms: 8y + 4y = 12y -2w + 11x + 12y = 0 Solving -2w + 11x + 12y = 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. -2w + 11x + -11x + 12y = 0 + -11x Combine like terms: 11x + -11x = 0 -2w + 0 + 12y = 0 + -11x -2w + 12y = 0 + -11x Remove the zero: -2w + 12y = -11x Add '-12y' to each side of the equation. -2w + 12y + -12y = -11x + -12y Combine like terms: 12y + -12y = 0 -2w + 0 = -11x + -12y -2w = -11x + -12y Divide each side by '-2'. w = 5.5x + 6y Simplifying w = 5.5x + 6y
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