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Simplifying 7w + -1(3w + -4) = 0 Reorder the terms: 7w + -1(-4 + 3w) = 0 7w + (-4 * -1 + 3w * -1) = 0 7w + (4 + -3w) = 0 Reorder the terms: 4 + 7w + -3w = 0 Combine like terms: 7w + -3w = 4w 4 + 4w = 0 Solving 4 + 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4w = 0 + -4 4w = 0 + -4 Combine like terms: 0 + -4 = -4 4w = -4 Divide each side by '4'. w = -1 Simplifying w = -1
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