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Simplifying (8x + -5w) + (4x + 7y) + (3y + 2w) = 0 Reorder the terms: (-5w + 8x) + (4x + 7y) + (3y + 2w) = 0 Remove parenthesis around (-5w + 8x) -5w + 8x + (4x + 7y) + (3y + 2w) = 0 Remove parenthesis around (4x + 7y) -5w + 8x + 4x + 7y + (3y + 2w) = 0 Reorder the terms: -5w + 8x + 4x + 7y + (2w + 3y) = 0 Remove parenthesis around (2w + 3y) -5w + 8x + 4x + 7y + 2w + 3y = 0 Reorder the terms: -5w + 2w + 8x + 4x + 7y + 3y = 0 Combine like terms: -5w + 2w = -3w -3w + 8x + 4x + 7y + 3y = 0 Combine like terms: 8x + 4x = 12x -3w + 12x + 7y + 3y = 0 Combine like terms: 7y + 3y = 10y -3w + 12x + 10y = 0 Solving -3w + 12x + 10y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12x' to each side of the equation. -3w + 12x + -12x + 10y = 0 + -12x Combine like terms: 12x + -12x = 0 -3w + 0 + 10y = 0 + -12x -3w + 10y = 0 + -12x Remove the zero: -3w + 10y = -12x Add '-10y' to each side of the equation. -3w + 10y + -10y = -12x + -10y Combine like terms: 10y + -10y = 0 -3w + 0 = -12x + -10y -3w = -12x + -10y Divide each side by '-3'. w = 4x + 3.333333333y Simplifying w = 4x + 3.333333333y
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