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Simplifying 7(w + -3) = -2w + -48 Reorder the terms: 7(-3 + w) = -2w + -48 (-3 * 7 + w * 7) = -2w + -48 (-21 + 7w) = -2w + -48 Reorder the terms: -21 + 7w = -48 + -2w Solving -21 + 7w = -48 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -21 + 7w + 2w = -48 + -2w + 2w Combine like terms: 7w + 2w = 9w -21 + 9w = -48 + -2w + 2w Combine like terms: -2w + 2w = 0 -21 + 9w = -48 + 0 -21 + 9w = -48 Add '21' to each side of the equation. -21 + 21 + 9w = -48 + 21 Combine like terms: -21 + 21 = 0 0 + 9w = -48 + 21 9w = -48 + 21 Combine like terms: -48 + 21 = -27 9w = -27 Divide each side by '9'. w = -3 Simplifying w = -3
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