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Simplifying 3w + 4x + -12y + 3w + 7x + 5y = 0 Reorder the terms: 3w + 3w + 4x + 7x + -12y + 5y = 0 Combine like terms: 3w + 3w = 6w 6w + 4x + 7x + -12y + 5y = 0 Combine like terms: 4x + 7x = 11x 6w + 11x + -12y + 5y = 0 Combine like terms: -12y + 5y = -7y 6w + 11x + -7y = 0 Solving 6w + 11x + -7y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11x' to each side of the equation. 6w + 11x + -11x + -7y = 0 + -11x Combine like terms: 11x + -11x = 0 6w + 0 + -7y = 0 + -11x 6w + -7y = 0 + -11x Remove the zero: 6w + -7y = -11x Add '7y' to each side of the equation. 6w + -7y + 7y = -11x + 7y Combine like terms: -7y + 7y = 0 6w + 0 = -11x + 7y 6w = -11x + 7y Divide each side by '6'. w = -1.833333333x + 1.166666667y Simplifying w = -1.833333333x + 1.166666667y
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