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Simplifying 4w + 5x + -12y + 5w + 10x + 3y = 0 Reorder the terms: 4w + 5w + 5x + 10x + -12y + 3y = 0 Combine like terms: 4w + 5w = 9w 9w + 5x + 10x + -12y + 3y = 0 Combine like terms: 5x + 10x = 15x 9w + 15x + -12y + 3y = 0 Combine like terms: -12y + 3y = -9y 9w + 15x + -9y = 0 Solving 9w + 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. 9w + 15x + -15x + -9y = 0 + -15x Combine like terms: 15x + -15x = 0 9w + 0 + -9y = 0 + -15x 9w + -9y = 0 + -15x Remove the zero: 9w + -9y = -15x Add '9y' to each side of the equation. 9w + -9y + 9y = -15x + 9y Combine like terms: -9y + 9y = 0 9w + 0 = -15x + 9y 9w = -15x + 9y Divide each side by '9'. w = -1.666666667x + y Simplifying w = -1.666666667x + y
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