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Simplifying 6x + -8w + 2x + 6y + 4y + 5w = 0 Reorder the terms: -8w + 5w + 6x + 2x + 6y + 4y = 0 Combine like terms: -8w + 5w = -3w -3w + 6x + 2x + 6y + 4y = 0 Combine like terms: 6x + 2x = 8x -3w + 8x + 6y + 4y = 0 Combine like terms: 6y + 4y = 10y -3w + 8x + 10y = 0 Solving -3w + 8x + 10y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8x' to each side of the equation. -3w + 8x + -8x + 10y = 0 + -8x Combine like terms: 8x + -8x = 0 -3w + 0 + 10y = 0 + -8x -3w + 10y = 0 + -8x Remove the zero: -3w + 10y = -8x Add '-10y' to each side of the equation. -3w + 10y + -10y = -8x + -10y Combine like terms: 10y + -10y = 0 -3w + 0 = -8x + -10y -3w = -8x + -10y Divide each side by '-3'. w = 2.666666667x + 3.333333333y Simplifying w = 2.666666667x + 3.333333333y
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