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Simplifying 3w + 6x + -12y + 7w + 9x + 3y = 0 Reorder the terms: 3w + 7w + 6x + 9x + -12y + 3y = 0 Combine like terms: 3w + 7w = 10w 10w + 6x + 9x + -12y + 3y = 0 Combine like terms: 6x + 9x = 15x 10w + 15x + -12y + 3y = 0 Combine like terms: -12y + 3y = -9y 10w + 15x + -9y = 0 Solving 10w + 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. 10w + 15x + -15x + -9y = 0 + -15x Combine like terms: 15x + -15x = 0 10w + 0 + -9y = 0 + -15x 10w + -9y = 0 + -15x Remove the zero: 10w + -9y = -15x Add '9y' to each side of the equation. 10w + -9y + 9y = -15x + 9y Combine like terms: -9y + 9y = 0 10w + 0 = -15x + 9y 10w = -15x + 9y Divide each side by '10'. w = -1.5x + 0.9y Simplifying w = -1.5x + 0.9y
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