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Simplifying 7w + -21 = -7(w + 7) Reorder the terms: -21 + 7w = -7(w + 7) Reorder the terms: -21 + 7w = -7(7 + w) -21 + 7w = (7 * -7 + w * -7) -21 + 7w = (-49 + -7w) Solving -21 + 7w = -49 + -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. -21 + 7w + 7w = -49 + -7w + 7w Combine like terms: 7w + 7w = 14w -21 + 14w = -49 + -7w + 7w Combine like terms: -7w + 7w = 0 -21 + 14w = -49 + 0 -21 + 14w = -49 Add '21' to each side of the equation. -21 + 21 + 14w = -49 + 21 Combine like terms: -21 + 21 = 0 0 + 14w = -49 + 21 14w = -49 + 21 Combine like terms: -49 + 21 = -28 14w = -28 Divide each side by '14'. w = -2 Simplifying w = -2
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