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Simplifying 6w + 5y + 8x + 7x + -12y + 4w = 0 Reorder the terms: 6w + 4w + 8x + 7x + 5y + -12y = 0 Combine like terms: 6w + 4w = 10w 10w + 8x + 7x + 5y + -12y = 0 Combine like terms: 8x + 7x = 15x 10w + 15x + 5y + -12y = 0 Combine like terms: 5y + -12y = -7y 10w + 15x + -7y = 0 Solving 10w + 15x + -7y = 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 + -7y = 0 + -15x Combine like terms: 15x + -15x = 0 10w + 0 + -7y = 0 + -15x 10w + -7y = 0 + -15x Remove the zero: 10w + -7y = -15x Add '7y' to each side of the equation. 10w + -7y + 7y = -15x + 7y Combine like terms: -7y + 7y = 0 10w + 0 = -15x + 7y 10w = -15x + 7y Divide each side by '10'. w = -1.5x + 0.7y Simplifying w = -1.5x + 0.7y
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