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Simplifying -4w + -4(-2x + 7w) = 7x Reorder the terms: -4w + -4(7w + -2x) = 7x -4w + (7w * -4 + -2x * -4) = 7x -4w + (-28w + 8x) = 7x Combine like terms: -4w + -28w = -32w -32w + 8x = 7x Solving -32w + 8x = 7x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8x' to each side of the equation. -32w + 8x + -8x = 7x + -8x Combine like terms: 8x + -8x = 0 -32w + 0 = 7x + -8x -32w = 7x + -8x Combine like terms: 7x + -8x = -1x -32w = -1x Divide each side by '-32'. w = 0.03125x Simplifying w = 0.03125x
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