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Simplifying 2w + 4x + 15y + 6w + 11x + 7y = 0 Reorder the terms: 2w + 6w + 4x + 11x + 15y + 7y = 0 Combine like terms: 2w + 6w = 8w 8w + 4x + 11x + 15y + 7y = 0 Combine like terms: 4x + 11x = 15x 8w + 15x + 15y + 7y = 0 Combine like terms: 15y + 7y = 22y 8w + 15x + 22y = 0 Solving 8w + 15x + 22y = 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. 8w + 15x + -15x + 22y = 0 + -15x Combine like terms: 15x + -15x = 0 8w + 0 + 22y = 0 + -15x 8w + 22y = 0 + -15x Remove the zero: 8w + 22y = -15x Add '-22y' to each side of the equation. 8w + 22y + -22y = -15x + -22y Combine like terms: 22y + -22y = 0 8w + 0 = -15x + -22y 8w = -15x + -22y Divide each side by '8'. w = -1.875x + -2.75y Simplifying w = -1.875x + -2.75y
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