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Simplifying 4(w + -7) = -7w + 38 Reorder the terms: 4(-7 + w) = -7w + 38 (-7 * 4 + w * 4) = -7w + 38 (-28 + 4w) = -7w + 38 Reorder the terms: -28 + 4w = 38 + -7w Solving -28 + 4w = 38 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -28 + 4w + 7w = 38 + -7w + 7w Combine like terms: 4w + 7w = 11w -28 + 11w = 38 + -7w + 7w Combine like terms: -7w + 7w = 0 -28 + 11w = 38 + 0 -28 + 11w = 38 Add '28' to each side of the equation. -28 + 28 + 11w = 38 + 28 Combine like terms: -28 + 28 = 0 0 + 11w = 38 + 28 11w = 38 + 28 Combine like terms: 38 + 28 = 66 11w = 66 Divide each side by '11'. w = 6 Simplifying w = 6
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