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