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Simplifying 6x + -7w + 3x + 6y + 3y + 3w = 0 Reorder the terms: -7w + 3w + 6x + 3x + 6y + 3y = 0 Combine like terms: -7w + 3w = -4w -4w + 6x + 3x + 6y + 3y = 0 Combine like terms: 6x + 3x = 9x -4w + 9x + 6y + 3y = 0 Combine like terms: 6y + 3y = 9y -4w + 9x + 9y = 0 Solving -4w + 9x + 9y = 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. -4w + 9x + -9x + 9y = 0 + -9x Combine like terms: 9x + -9x = 0 -4w + 0 + 9y = 0 + -9x -4w + 9y = 0 + -9x Remove the zero: -4w + 9y = -9x Add '-9y' to each side of the equation. -4w + 9y + -9y = -9x + -9y Combine like terms: 9y + -9y = 0 -4w + 0 = -9x + -9y -4w = -9x + -9y Divide each side by '-4'. w = 2.25x + 2.25y Simplifying w = 2.25x + 2.25y
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