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Simplifying 6x + -7w + 2x + 8y + 5y + 3w = 0 Reorder the terms: -7w + 3w + 6x + 2x + 8y + 5y = 0 Combine like terms: -7w + 3w = -4w -4w + 6x + 2x + 8y + 5y = 0 Combine like terms: 6x + 2x = 8x -4w + 8x + 8y + 5y = 0 Combine like terms: 8y + 5y = 13y -4w + 8x + 13y = 0 Solving -4w + 8x + 13y = 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 + 13y = 0 + -8x Combine like terms: 8x + -8x = 0 -4w + 0 + 13y = 0 + -8x -4w + 13y = 0 + -8x Remove the zero: -4w + 13y = -8x Add '-13y' to each side of the equation. -4w + 13y + -13y = -8x + -13y Combine like terms: 13y + -13y = 0 -4w + 0 = -8x + -13y -4w = -8x + -13y Divide each side by '-4'. w = 2x + 3.25y Simplifying w = 2x + 3.25y
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