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Simplifying 4w + 13x + -7y = 420z Solving 4w + 13x + -7y = 420z Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13x' to each side of the equation. 4w + 13x + -13x + -7y = -13x + 420z Combine like terms: 13x + -13x = 0 4w + 0 + -7y = -13x + 420z 4w + -7y = -13x + 420z Add '7y' to each side of the equation. 4w + -7y + 7y = -13x + 7y + 420z Combine like terms: -7y + 7y = 0 4w + 0 = -13x + 7y + 420z 4w = -13x + 7y + 420z Divide each side by '4'. w = -3.25x + 1.75y + 105z Simplifying w = -3.25x + 1.75y + 105z
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