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