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Simplifying 3w + 8x + -13y + 3w + 4x + 4y = 0 Reorder the terms: 3w + 3w + 8x + 4x + -13y + 4y = 0 Combine like terms: 3w + 3w = 6w 6w + 8x + 4x + -13y + 4y = 0 Combine like terms: 8x + 4x = 12x 6w + 12x + -13y + 4y = 0 Combine like terms: -13y + 4y = -9y 6w + 12x + -9y = 0 Solving 6w + 12x + -9y = 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. 6w + 12x + -12x + -9y = 0 + -12x Combine like terms: 12x + -12x = 0 6w + 0 + -9y = 0 + -12x 6w + -9y = 0 + -12x Remove the zero: 6w + -9y = -12x Add '9y' to each side of the equation. 6w + -9y + 9y = -12x + 9y Combine like terms: -9y + 9y = 0 6w + 0 = -12x + 9y 6w = -12x + 9y Divide each side by '6'. w = -2x + 1.5y Simplifying w = -2x + 1.5y
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