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Simplifying 3w + 7x + -13y + 3w + 8x + 7y = 0 Reorder the terms: 3w + 3w + 7x + 8x + -13y + 7y = 0 Combine like terms: 3w + 3w = 6w 6w + 7x + 8x + -13y + 7y = 0 Combine like terms: 7x + 8x = 15x 6w + 15x + -13y + 7y = 0 Combine like terms: -13y + 7y = -6y 6w + 15x + -6y = 0 Solving 6w + 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. 6w + 15x + -15x + -6y = 0 + -15x Combine like terms: 15x + -15x = 0 6w + 0 + -6y = 0 + -15x 6w + -6y = 0 + -15x Remove the zero: 6w + -6y = -15x Add '6y' to each side of the equation. 6w + -6y + 6y = -15x + 6y Combine like terms: -6y + 6y = 0 6w + 0 = -15x + 6y 6w = -15x + 6y Divide each side by '6'. w = -2.5x + y Simplifying w = -2.5x + y
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