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Simplifying 4w + 4x + -15y + 2w + 9x + 8y = 0 Reorder the terms: 4w + 2w + 4x + 9x + -15y + 8y = 0 Combine like terms: 4w + 2w = 6w 6w + 4x + 9x + -15y + 8y = 0 Combine like terms: 4x + 9x = 13x 6w + 13x + -15y + 8y = 0 Combine like terms: -15y + 8y = -7y 6w + 13x + -7y = 0 Solving 6w + 13x + -7y = 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. 6w + 13x + -13x + -7y = 0 + -13x Combine like terms: 13x + -13x = 0 6w + 0 + -7y = 0 + -13x 6w + -7y = 0 + -13x Remove the zero: 6w + -7y = -13x Add '7y' to each side of the equation. 6w + -7y + 7y = -13x + 7y Combine like terms: -7y + 7y = 0 6w + 0 = -13x + 7y 6w = -13x + 7y Divide each side by '6'. w = -2.166666667x + 1.166666667y Simplifying w = -2.166666667x + 1.166666667y
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