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Simplifying 8x + -7w + 2y + 4w + 4x + 6y = 0 Reorder the terms: -7w + 4w + 8x + 4x + 2y + 6y = 0 Combine like terms: -7w + 4w = -3w -3w + 8x + 4x + 2y + 6y = 0 Combine like terms: 8x + 4x = 12x -3w + 12x + 2y + 6y = 0 Combine like terms: 2y + 6y = 8y -3w + 12x + 8y = 0 Solving -3w + 12x + 8y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12x' to each side of the equation. -3w + 12x + -12x + 8y = 0 + -12x Combine like terms: 12x + -12x = 0 -3w + 0 + 8y = 0 + -12x -3w + 8y = 0 + -12x Remove the zero: -3w + 8y = -12x Add '-8y' to each side of the equation. -3w + 8y + -8y = -12x + -8y Combine like terms: 8y + -8y = 0 -3w + 0 = -12x + -8y -3w = -12x + -8y Divide each side by '-3'. w = 4x + 2.666666667y Simplifying w = 4x + 2.666666667y
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