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Simplifying (2x + 9y) + (2y + 3w) + (6x + -7w) = 0 Remove parenthesis around (2x + 9y) 2x + 9y + (2y + 3w) + (6x + -7w) = 0 Reorder the terms: 2x + 9y + (3w + 2y) + (6x + -7w) = 0 Remove parenthesis around (3w + 2y) 2x + 9y + 3w + 2y + (6x + -7w) = 0 Reorder the terms: 2x + 9y + 3w + 2y + (-7w + 6x) = 0 Remove parenthesis around (-7w + 6x) 2x + 9y + 3w + 2y + -7w + 6x = 0 Reorder the terms: 3w + -7w + 2x + 6x + 9y + 2y = 0 Combine like terms: 3w + -7w = -4w -4w + 2x + 6x + 9y + 2y = 0 Combine like terms: 2x + 6x = 8x -4w + 8x + 9y + 2y = 0 Combine like terms: 9y + 2y = 11y -4w + 8x + 11y = 0 Solving -4w + 8x + 11y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8x' to each side of the equation. -4w + 8x + -8x + 11y = 0 + -8x Combine like terms: 8x + -8x = 0 -4w + 0 + 11y = 0 + -8x -4w + 11y = 0 + -8x Remove the zero: -4w + 11y = -8x Add '-11y' to each side of the equation. -4w + 11y + -11y = -8x + -11y Combine like terms: 11y + -11y = 0 -4w + 0 = -8x + -11y -4w = -8x + -11y Divide each side by '-4'. w = 2x + 2.75y Simplifying w = 2x + 2.75y
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