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Simplifying 8x + -7w + 3x + 7w + 4y + 3w = 0 Reorder the terms: -7w + 7w + 3w + 8x + 3x + 4y = 0 Combine like terms: -7w + 7w = 0 0 + 3w + 8x + 3x + 4y = 0 3w + 8x + 3x + 4y = 0 Combine like terms: 8x + 3x = 11x 3w + 11x + 4y = 0 Solving 3w + 11x + 4y = 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. 3w + 11x + -11x + 4y = 0 + -11x Combine like terms: 11x + -11x = 0 3w + 0 + 4y = 0 + -11x 3w + 4y = 0 + -11x Remove the zero: 3w + 4y = -11x Add '-4y' to each side of the equation. 3w + 4y + -4y = -11x + -4y Combine like terms: 4y + -4y = 0 3w + 0 = -11x + -4y 3w = -11x + -4y Divide each side by '3'. w = -3.666666667x + -1.333333333y Simplifying w = -3.666666667x + -1.333333333y
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