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Simplifying 6x + -8w + 2x + 8y + 3y + 5w = 0 Reorder the terms: -8w + 5w + 6x + 2x + 8y + 3y = 0 Combine like terms: -8w + 5w = -3w -3w + 6x + 2x + 8y + 3y = 0 Combine like terms: 6x + 2x = 8x -3w + 8x + 8y + 3y = 0 Combine like terms: 8y + 3y = 11y -3w + 8x + 11y = 0 Solving -3w + 8x + 11y = 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 + 11y = 0 + -8x Combine like terms: 8x + -8x = 0 -3w + 0 + 11y = 0 + -8x -3w + 11y = 0 + -8x Remove the zero: -3w + 11y = -8x Add '-11y' to each side of the equation. -3w + 11y + -11y = -8x + -11y Combine like terms: 11y + -11y = 0 -3w + 0 = -8x + -11y -3w = -8x + -11y Divide each side by '-3'. w = 2.666666667x + 3.666666667y Simplifying w = 2.666666667x + 3.666666667y
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