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Simplifying 2w + -3x + -1y + 6w + 16x + -5y = 0 Reorder the terms: 2w + 6w + -3x + 16x + -1y + -5y = 0 Combine like terms: 2w + 6w = 8w 8w + -3x + 16x + -1y + -5y = 0 Combine like terms: -3x + 16x = 13x 8w + 13x + -1y + -5y = 0 Combine like terms: -1y + -5y = -6y 8w + 13x + -6y = 0 Solving 8w + 13x + -6y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13x' to each side of the equation. 8w + 13x + -13x + -6y = 0 + -13x Combine like terms: 13x + -13x = 0 8w + 0 + -6y = 0 + -13x 8w + -6y = 0 + -13x Remove the zero: 8w + -6y = -13x Add '6y' to each side of the equation. 8w + -6y + 6y = -13x + 6y Combine like terms: -6y + 6y = 0 8w + 0 = -13x + 6y 8w = -13x + 6y Divide each side by '8'. w = -1.625x + 0.75y Simplifying w = -1.625x + 0.75y
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