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Simplifying (7w + 4x) + -1(3w + -1z) + (x + z) = 0 Remove parenthesis around (7w + 4x) 7w + 4x + -1(3w + -1z) + (x + z) = 0 7w + 4x + (3w * -1 + -1z * -1) + (x + z) = 0 7w + 4x + (-3w + 1z) + (x + z) = 0 Remove parenthesis around (x + z) 7w + 4x + -3w + 1z + x + z = 0 Reorder the terms: 7w + -3w + 4x + x + 1z + z = 0 Combine like terms: 7w + -3w = 4w 4w + 4x + x + 1z + z = 0 Combine like terms: 4x + x = 5x 4w + 5x + 1z + z = 0 Combine like terms: 1z + z = 2z 4w + 5x + 2z = 0 Solving 4w + 5x + 2z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5x' to each side of the equation. 4w + 5x + -5x + 2z = 0 + -5x Combine like terms: 5x + -5x = 0 4w + 0 + 2z = 0 + -5x 4w + 2z = 0 + -5x Remove the zero: 4w + 2z = -5x Add '-2z' to each side of the equation. 4w + 2z + -2z = -5x + -2z Combine like terms: 2z + -2z = 0 4w + 0 = -5x + -2z 4w = -5x + -2z Divide each side by '4'. w = -1.25x + -0.5z Simplifying w = -1.25x + -0.5z
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