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Simplifying 3w + -2x + -1y + 3w + 14x + -6y = 0 Reorder the terms: 3w + 3w + -2x + 14x + -1y + -6y = 0 Combine like terms: 3w + 3w = 6w 6w + -2x + 14x + -1y + -6y = 0 Combine like terms: -2x + 14x = 12x 6w + 12x + -1y + -6y = 0 Combine like terms: -1y + -6y = -7y 6w + 12x + -7y = 0 Solving 6w + 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. 6w + 12x + -12x + -7y = 0 + -12x Combine like terms: 12x + -12x = 0 6w + 0 + -7y = 0 + -12x 6w + -7y = 0 + -12x Remove the zero: 6w + -7y = -12x Add '7y' to each side of the equation. 6w + -7y + 7y = -12x + 7y Combine like terms: -7y + 7y = 0 6w + 0 = -12x + 7y 6w = -12x + 7y Divide each side by '6'. w = -2x + 1.166666667y Simplifying w = -2x + 1.166666667y
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