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Simplifying (6x + -5w) + (3x + 6y) + (4y + 2w) = 0 Reorder the terms: (-5w + 6x) + (3x + 6y) + (4y + 2w) = 0 Remove parenthesis around (-5w + 6x) -5w + 6x + (3x + 6y) + (4y + 2w) = 0 Remove parenthesis around (3x + 6y) -5w + 6x + 3x + 6y + (4y + 2w) = 0 Reorder the terms: -5w + 6x + 3x + 6y + (2w + 4y) = 0 Remove parenthesis around (2w + 4y) -5w + 6x + 3x + 6y + 2w + 4y = 0 Reorder the terms: -5w + 2w + 6x + 3x + 6y + 4y = 0 Combine like terms: -5w + 2w = -3w -3w + 6x + 3x + 6y + 4y = 0 Combine like terms: 6x + 3x = 9x -3w + 9x + 6y + 4y = 0 Combine like terms: 6y + 4y = 10y -3w + 9x + 10y = 0 Solving -3w + 9x + 10y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9x' to each side of the equation. -3w + 9x + -9x + 10y = 0 + -9x Combine like terms: 9x + -9x = 0 -3w + 0 + 10y = 0 + -9x -3w + 10y = 0 + -9x Remove the zero: -3w + 10y = -9x Add '-10y' to each side of the equation. -3w + 10y + -10y = -9x + -10y Combine like terms: 10y + -10y = 0 -3w + 0 = -9x + -10y -3w = -9x + -10y Divide each side by '-3'. w = 3x + 3.333333333y Simplifying w = 3x + 3.333333333y
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