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Simplifying 6x + 3x + 6y + 5y + -7w + 5w = 0 Reorder the terms: -7w + 5w + 6x + 3x + 6y + 5y = 0 Combine like terms: -7w + 5w = -2w -2w + 6x + 3x + 6y + 5y = 0 Combine like terms: 6x + 3x = 9x -2w + 9x + 6y + 5y = 0 Combine like terms: 6y + 5y = 11y -2w + 9x + 11y = 0 Solving -2w + 9x + 11y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9x' to each side of the equation. -2w + 9x + -9x + 11y = 0 + -9x Combine like terms: 9x + -9x = 0 -2w + 0 + 11y = 0 + -9x -2w + 11y = 0 + -9x Remove the zero: -2w + 11y = -9x Add '-11y' to each side of the equation. -2w + 11y + -11y = -9x + -11y Combine like terms: 11y + -11y = 0 -2w + 0 = -9x + -11y -2w = -9x + -11y Divide each side by '-2'. w = 4.5x + 5.5y Simplifying w = 4.5x + 5.5y
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