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Simplifying 3w + 3x + 15y + 6w + 12x + -6y = 0 Reorder the terms: 3w + 6w + 3x + 12x + 15y + -6y = 0 Combine like terms: 3w + 6w = 9w 9w + 3x + 12x + 15y + -6y = 0 Combine like terms: 3x + 12x = 15x 9w + 15x + 15y + -6y = 0 Combine like terms: 15y + -6y = 9y 9w + 15x + 9y = 0 Solving 9w + 15x + 9y = 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 + 9y = 0 + -15x Combine like terms: 15x + -15x = 0 9w + 0 + 9y = 0 + -15x 9w + 9y = 0 + -15x Remove the zero: 9w + 9y = -15x Add '-9y' to each side of the equation. 9w + 9y + -9y = -15x + -9y Combine like terms: 9y + -9y = 0 9w + 0 = -15x + -9y 9w = -15x + -9y Divide each side by '9'. w = -1.666666667x + -1y Simplifying w = -1.666666667x + -1y
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