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Simplifying 13x + -2y + 14w + -4y + -6w + 2x = 0 Reorder the terms: 14w + -6w + 13x + 2x + -2y + -4y = 0 Combine like terms: 14w + -6w = 8w 8w + 13x + 2x + -2y + -4y = 0 Combine like terms: 13x + 2x = 15x 8w + 15x + -2y + -4y = 0 Combine like terms: -2y + -4y = -6y 8w + 15x + -6y = 0 Solving 8w + 15x + -6y = 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. 8w + 15x + -15x + -6y = 0 + -15x Combine like terms: 15x + -15x = 0 8w + 0 + -6y = 0 + -15x 8w + -6y = 0 + -15x Remove the zero: 8w + -6y = -15x Add '6y' to each side of the equation. 8w + -6y + 6y = -15x + 6y Combine like terms: -6y + 6y = 0 8w + 0 = -15x + 6y 8w = -15x + 6y Divide each side by '8'. w = -1.875x + 0.75y Simplifying w = -1.875x + 0.75y
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