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Simplifying 2w + 5x + 12y + 7w + 8x + -4y = 0 Reorder the terms: 2w + 7w + 5x + 8x + 12y + -4y = 0 Combine like terms: 2w + 7w = 9w 9w + 5x + 8x + 12y + -4y = 0 Combine like terms: 5x + 8x = 13x 9w + 13x + 12y + -4y = 0 Combine like terms: 12y + -4y = 8y 9w + 13x + 8y = 0 Solving 9w + 13x + 8y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13x' to each side of the equation. 9w + 13x + -13x + 8y = 0 + -13x Combine like terms: 13x + -13x = 0 9w + 0 + 8y = 0 + -13x 9w + 8y = 0 + -13x Remove the zero: 9w + 8y = -13x Add '-8y' to each side of the equation. 9w + 8y + -8y = -13x + -8y Combine like terms: 8y + -8y = 0 9w + 0 = -13x + -8y 9w = -13x + -8y Divide each side by '9'. w = -1.444444444x + -0.8888888889y Simplifying w = -1.444444444x + -0.8888888889y
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