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Simplifying 4w + 4x + -12w + 4w + 9x + 3y = 0 Reorder the terms: 4w + -12w + 4w + 4x + 9x + 3y = 0 Combine like terms: 4w + -12w = -8w -8w + 4w + 4x + 9x + 3y = 0 Combine like terms: -8w + 4w = -4w -4w + 4x + 9x + 3y = 0 Combine like terms: 4x + 9x = 13x -4w + 13x + 3y = 0 Solving -4w + 13x + 3y = 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. -4w + 13x + -13x + 3y = 0 + -13x Combine like terms: 13x + -13x = 0 -4w + 0 + 3y = 0 + -13x -4w + 3y = 0 + -13x Remove the zero: -4w + 3y = -13x Add '-3y' to each side of the equation. -4w + 3y + -3y = -13x + -3y Combine like terms: 3y + -3y = 0 -4w + 0 = -13x + -3y -4w = -13x + -3y Divide each side by '-4'. w = 3.25x + 0.75y Simplifying w = 3.25x + 0.75y
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