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Simplifying -7(w + 3) = -9w + -7 Reorder the terms: -7(3 + w) = -9w + -7 (3 * -7 + w * -7) = -9w + -7 (-21 + -7w) = -9w + -7 Reorder the terms: -21 + -7w = -7 + -9w Solving -21 + -7w = -7 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -21 + -7w + 9w = -7 + -9w + 9w Combine like terms: -7w + 9w = 2w -21 + 2w = -7 + -9w + 9w Combine like terms: -9w + 9w = 0 -21 + 2w = -7 + 0 -21 + 2w = -7 Add '21' to each side of the equation. -21 + 21 + 2w = -7 + 21 Combine like terms: -21 + 21 = 0 0 + 2w = -7 + 21 2w = -7 + 21 Combine like terms: -7 + 21 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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