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Simplifying 4w + 3x + 14y + 5w + 12x + -7y = 0 Reorder the terms: 4w + 5w + 3x + 12x + 14y + -7y = 0 Combine like terms: 4w + 5w = 9w 9w + 3x + 12x + 14y + -7y = 0 Combine like terms: 3x + 12x = 15x 9w + 15x + 14y + -7y = 0 Combine like terms: 14y + -7y = 7y 9w + 15x + 7y = 0 Solving 9w + 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. 9w + 15x + -15x + 7y = 0 + -15x Combine like terms: 15x + -15x = 0 9w + 0 + 7y = 0 + -15x 9w + 7y = 0 + -15x Remove the zero: 9w + 7y = -15x Add '-7y' to each side of the equation. 9w + 7y + -7y = -15x + -7y Combine like terms: 7y + -7y = 0 9w + 0 = -15x + -7y 9w = -15x + -7y Divide each side by '9'. w = -1.666666667x + -0.7777777778y Simplifying w = -1.666666667x + -0.7777777778y
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