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Simplifying 3w + 4x + -15y + 5w + 11x + 7y = 0 Reorder the terms: 3w + 5w + 4x + 11x + -15y + 7y = 0 Combine like terms: 3w + 5w = 8w 8w + 4x + 11x + -15y + 7y = 0 Combine like terms: 4x + 11x = 15x 8w + 15x + -15y + 7y = 0 Combine like terms: -15y + 7y = -8y 8w + 15x + -8y = 0 Solving 8w + 15x + -8y = 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 + -8y = 0 + -15x Combine like terms: 15x + -15x = 0 8w + 0 + -8y = 0 + -15x 8w + -8y = 0 + -15x Remove the zero: 8w + -8y = -15x Add '8y' to each side of the equation. 8w + -8y + 8y = -15x + 8y Combine like terms: -8y + 8y = 0 8w + 0 = -15x + 8y 8w = -15x + 8y Divide each side by '8'. w = -1.875x + y Simplifying w = -1.875x + y
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