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Simplifying 7w + 4(w + -4) = 39 Reorder the terms: 7w + 4(-4 + w) = 39 7w + (-4 * 4 + w * 4) = 39 7w + (-16 + 4w) = 39 Reorder the terms: -16 + 7w + 4w = 39 Combine like terms: 7w + 4w = 11w -16 + 11w = 39 Solving -16 + 11w = 39 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 11w = 39 + 16 Combine like terms: -16 + 16 = 0 0 + 11w = 39 + 16 11w = 39 + 16 Combine like terms: 39 + 16 = 55 11w = 55 Divide each side by '11'. w = 5 Simplifying w = 5
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