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Simplifying 8x + -2y + 15w + -7y + -5y + 7x = 0 Reorder the terms: 15w + 8x + 7x + -2y + -7y + -5y = 0 Combine like terms: 8x + 7x = 15x 15w + 15x + -2y + -7y + -5y = 0 Combine like terms: -2y + -7y = -9y 15w + 15x + -9y + -5y = 0 Combine like terms: -9y + -5y = -14y 15w + 15x + -14y = 0 Solving 15w + 15x + -14y = 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. 15w + 15x + -15x + -14y = 0 + -15x Combine like terms: 15x + -15x = 0 15w + 0 + -14y = 0 + -15x 15w + -14y = 0 + -15x Remove the zero: 15w + -14y = -15x Add '14y' to each side of the equation. 15w + -14y + 14y = -15x + 14y Combine like terms: -14y + 14y = 0 15w + 0 = -15x + 14y 15w = -15x + 14y Divide each side by '15'. w = -1x + 0.9333333333y Simplifying w = -1x + 0.9333333333y
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