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Simplifying -39 = 4w + 7(w + -4) Reorder the terms: -39 = 4w + 7(-4 + w) -39 = 4w + (-4 * 7 + w * 7) -39 = 4w + (-28 + 7w) Reorder the terms: -39 = -28 + 4w + 7w Combine like terms: 4w + 7w = 11w -39 = -28 + 11w Solving -39 = -28 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -39 + -11w = -28 + 11w + -11w Combine like terms: 11w + -11w = 0 -39 + -11w = -28 + 0 -39 + -11w = -28 Add '39' to each side of the equation. -39 + 39 + -11w = -28 + 39 Combine like terms: -39 + 39 = 0 0 + -11w = -28 + 39 -11w = -28 + 39 Combine like terms: -28 + 39 = 11 -11w = 11 Divide each side by '-11'. w = -1 Simplifying w = -1
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