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Simplifying 2w + 4x + -15y + 6w + 7x + 6y = 0 Reorder the terms: 2w + 6w + 4x + 7x + -15y + 6y = 0 Combine like terms: 2w + 6w = 8w 8w + 4x + 7x + -15y + 6y = 0 Combine like terms: 4x + 7x = 11x 8w + 11x + -15y + 6y = 0 Combine like terms: -15y + 6y = -9y 8w + 11x + -9y = 0 Solving 8w + 11x + -9y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11x' to each side of the equation. 8w + 11x + -11x + -9y = 0 + -11x Combine like terms: 11x + -11x = 0 8w + 0 + -9y = 0 + -11x 8w + -9y = 0 + -11x Remove the zero: 8w + -9y = -11x Add '9y' to each side of the equation. 8w + -9y + 9y = -11x + 9y Combine like terms: -9y + 9y = 0 8w + 0 = -11x + 9y 8w = -11x + 9y Divide each side by '8'. w = -1.375x + 1.125y Simplifying w = -1.375x + 1.125y
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