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Simplifying 3w + -6x + -1y + 7w + 18x + -6y = 0 Reorder the terms: 3w + 7w + -6x + 18x + -1y + -6y = 0 Combine like terms: 3w + 7w = 10w 10w + -6x + 18x + -1y + -6y = 0 Combine like terms: -6x + 18x = 12x 10w + 12x + -1y + -6y = 0 Combine like terms: -1y + -6y = -7y 10w + 12x + -7y = 0 Solving 10w + 12x + -7y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12x' to each side of the equation. 10w + 12x + -12x + -7y = 0 + -12x Combine like terms: 12x + -12x = 0 10w + 0 + -7y = 0 + -12x 10w + -7y = 0 + -12x Remove the zero: 10w + -7y = -12x Add '7y' to each side of the equation. 10w + -7y + 7y = -12x + 7y Combine like terms: -7y + 7y = 0 10w + 0 = -12x + 7y 10w = -12x + 7y Divide each side by '10'. w = -1.2x + 0.7y Simplifying w = -1.2x + 0.7y
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