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