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Simplifying 3w + -4x + -1y + 5w + 15x + -6y = 0 Reorder the terms: 3w + 5w + -4x + 15x + -1y + -6y = 0 Combine like terms: 3w + 5w = 8w 8w + -4x + 15x + -1y + -6y = 0 Combine like terms: -4x + 15x = 11x 8w + 11x + -1y + -6y = 0 Combine like terms: -1y + -6y = -7y 8w + 11x + -7y = 0 Solving 8w + 11x + -7y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11x' to each side of the equation. 8w + 11x + -11x + -7y = 0 + -11x Combine like terms: 11x + -11x = 0 8w + 0 + -7y = 0 + -11x 8w + -7y = 0 + -11x Remove the zero: 8w + -7y = -11x Add '7y' to each side of the equation. 8w + -7y + 7y = -11x + 7y Combine like terms: -7y + 7y = 0 8w + 0 = -11x + 7y 8w = -11x + 7y Divide each side by '8'. w = -1.375x + 0.875y Simplifying w = -1.375x + 0.875y
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