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Simplifying 7(w + -2) = -7w + -28 Reorder the terms: 7(-2 + w) = -7w + -28 (-2 * 7 + w * 7) = -7w + -28 (-14 + 7w) = -7w + -28 Reorder the terms: -14 + 7w = -28 + -7w Solving -14 + 7w = -28 + -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. -14 + 7w + 7w = -28 + -7w + 7w Combine like terms: 7w + 7w = 14w -14 + 14w = -28 + -7w + 7w Combine like terms: -7w + 7w = 0 -14 + 14w = -28 + 0 -14 + 14w = -28 Add '14' to each side of the equation. -14 + 14 + 14w = -28 + 14 Combine like terms: -14 + 14 = 0 0 + 14w = -28 + 14 14w = -28 + 14 Combine like terms: -28 + 14 = -14 14w = -14 Divide each side by '14'. w = -1 Simplifying w = -1
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