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Simplifying 6x + -7w + 5x + 7y + 3y + 4w = 0 Reorder the terms: -7w + 4w + 6x + 5x + 7y + 3y = 0 Combine like terms: -7w + 4w = -3w -3w + 6x + 5x + 7y + 3y = 0 Combine like terms: 6x + 5x = 11x -3w + 11x + 7y + 3y = 0 Combine like terms: 7y + 3y = 10y -3w + 11x + 10y = 0 Solving -3w + 11x + 10y = 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 + 10y = 0 + -11x Combine like terms: 11x + -11x = 0 -3w + 0 + 10y = 0 + -11x -3w + 10y = 0 + -11x Remove the zero: -3w + 10y = -11x Add '-10y' to each side of the equation. -3w + 10y + -10y = -11x + -10y Combine like terms: 10y + -10y = 0 -3w + 0 = -11x + -10y -3w = -11x + -10y Divide each side by '-3'. w = 3.666666667x + 3.333333333y Simplifying w = 3.666666667x + 3.333333333y
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