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Simplifying 4w + 6x + 12y + 2w + 9x + -3y = 0 Reorder the terms: 4w + 2w + 6x + 9x + 12y + -3y = 0 Combine like terms: 4w + 2w = 6w 6w + 6x + 9x + 12y + -3y = 0 Combine like terms: 6x + 9x = 15x 6w + 15x + 12y + -3y = 0 Combine like terms: 12y + -3y = 9y 6w + 15x + 9y = 0 Solving 6w + 15x + 9y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15x' to each side of the equation. 6w + 15x + -15x + 9y = 0 + -15x Combine like terms: 15x + -15x = 0 6w + 0 + 9y = 0 + -15x 6w + 9y = 0 + -15x Remove the zero: 6w + 9y = -15x Add '-9y' to each side of the equation. 6w + 9y + -9y = -15x + -9y Combine like terms: 9y + -9y = 0 6w + 0 = -15x + -9y 6w = -15x + -9y Divide each side by '6'. w = -2.5x + -1.5y Simplifying w = -2.5x + -1.5y
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