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Simplifying (6x + -8w) + (2x + 9y) + (3y + 5w) = 0 Reorder the terms: (-8w + 6x) + (2x + 9y) + (3y + 5w) = 0 Remove parenthesis around (-8w + 6x) -8w + 6x + (2x + 9y) + (3y + 5w) = 0 Remove parenthesis around (2x + 9y) -8w + 6x + 2x + 9y + (3y + 5w) = 0 Reorder the terms: -8w + 6x + 2x + 9y + (5w + 3y) = 0 Remove parenthesis around (5w + 3y) -8w + 6x + 2x + 9y + 5w + 3y = 0 Reorder the terms: -8w + 5w + 6x + 2x + 9y + 3y = 0 Combine like terms: -8w + 5w = -3w -3w + 6x + 2x + 9y + 3y = 0 Combine like terms: 6x + 2x = 8x -3w + 8x + 9y + 3y = 0 Combine like terms: 9y + 3y = 12y -3w + 8x + 12y = 0 Solving -3w + 8x + 12y = 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 + 12y = 0 + -8x Combine like terms: 8x + -8x = 0 -3w + 0 + 12y = 0 + -8x -3w + 12y = 0 + -8x Remove the zero: -3w + 12y = -8x Add '-12y' to each side of the equation. -3w + 12y + -12y = -8x + -12y Combine like terms: 12y + -12y = 0 -3w + 0 = -8x + -12y -3w = -8x + -12y Divide each side by '-3'. w = 2.666666667x + 4y Simplifying w = 2.666666667x + 4y
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