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Simplifying 13x + 2y + 11w + -3y + -5w + 2x = 0 Reorder the terms: 11w + -5w + 13x + 2x + 2y + -3y = 0 Combine like terms: 11w + -5w = 6w 6w + 13x + 2x + 2y + -3y = 0 Combine like terms: 13x + 2x = 15x 6w + 15x + 2y + -3y = 0 Combine like terms: 2y + -3y = -1y 6w + 15x + -1y = 0 Solving 6w + 15x + -1y = 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. 6w + 15x + -15x + -1y = 0 + -15x Combine like terms: 15x + -15x = 0 6w + 0 + -1y = 0 + -15x 6w + -1y = 0 + -15x Remove the zero: 6w + -1y = -15x Add 'y' to each side of the equation. 6w + -1y + y = -15x + y Combine like terms: -1y + y = 0 6w + 0 = -15x + y 6w = -15x + y Divide each side by '6'. w = -2.5x + 0.1666666667y Simplifying w = -2.5x + 0.1666666667y
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