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Simplifying 3w + -4x + -1y + 3w + -19x + -6y = 0 Reorder the terms: 3w + 3w + -4x + -19x + -1y + -6y = 0 Combine like terms: 3w + 3w = 6w 6w + -4x + -19x + -1y + -6y = 0 Combine like terms: -4x + -19x = -23x 6w + -23x + -1y + -6y = 0 Combine like terms: -1y + -6y = -7y 6w + -23x + -7y = 0 Solving 6w + -23x + -7y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '23x' to each side of the equation. 6w + -23x + 23x + -7y = 0 + 23x Combine like terms: -23x + 23x = 0 6w + 0 + -7y = 0 + 23x 6w + -7y = 0 + 23x Remove the zero: 6w + -7y = 23x Add '7y' to each side of the equation. 6w + -7y + 7y = 23x + 7y Combine like terms: -7y + 7y = 0 6w + 0 = 23x + 7y 6w = 23x + 7y Divide each side by '6'. w = 3.833333333x + 1.166666667y Simplifying w = 3.833333333x + 1.166666667y
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