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Simplifying 5x + -2y + 16w + -7y + -6w + 9x = 0 Reorder the terms: 16w + -6w + 5x + 9x + -2y + -7y = 0 Combine like terms: 16w + -6w = 10w 10w + 5x + 9x + -2y + -7y = 0 Combine like terms: 5x + 9x = 14x 10w + 14x + -2y + -7y = 0 Combine like terms: -2y + -7y = -9y 10w + 14x + -9y = 0 Solving 10w + 14x + -9y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14x' to each side of the equation. 10w + 14x + -14x + -9y = 0 + -14x Combine like terms: 14x + -14x = 0 10w + 0 + -9y = 0 + -14x 10w + -9y = 0 + -14x Remove the zero: 10w + -9y = -14x Add '9y' to each side of the equation. 10w + -9y + 9y = -14x + 9y Combine like terms: -9y + 9y = 0 10w + 0 = -14x + 9y 10w = -14x + 9y Divide each side by '10'. w = -1.4x + 0.9y Simplifying w = -1.4x + 0.9y
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