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Simplifying (3x + -4w + z) + (6x + 2w + 5z) = 0 Reorder the terms: (-4w + 3x + z) + (6x + 2w + 5z) = 0 Remove parenthesis around (-4w + 3x + z) -4w + 3x + z + (6x + 2w + 5z) = 0 Reorder the terms: -4w + 3x + z + (2w + 6x + 5z) = 0 Remove parenthesis around (2w + 6x + 5z) -4w + 3x + z + 2w + 6x + 5z = 0 Reorder the terms: -4w + 2w + 3x + 6x + z + 5z = 0 Combine like terms: -4w + 2w = -2w -2w + 3x + 6x + z + 5z = 0 Combine like terms: 3x + 6x = 9x -2w + 9x + z + 5z = 0 Combine like terms: z + 5z = 6z -2w + 9x + 6z = 0 Solving -2w + 9x + 6z = 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. -2w + 9x + -9x + 6z = 0 + -9x Combine like terms: 9x + -9x = 0 -2w + 0 + 6z = 0 + -9x -2w + 6z = 0 + -9x Remove the zero: -2w + 6z = -9x Add '-6z' to each side of the equation. -2w + 6z + -6z = -9x + -6z Combine like terms: 6z + -6z = 0 -2w + 0 = -9x + -6z -2w = -9x + -6z Divide each side by '-2'. w = 4.5x + 3z Simplifying w = 4.5x + 3z
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