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Simplifying -7(w + 6) = -9w + -48 Reorder the terms: -7(6 + w) = -9w + -48 (6 * -7 + w * -7) = -9w + -48 (-42 + -7w) = -9w + -48 Reorder the terms: -42 + -7w = -48 + -9w Solving -42 + -7w = -48 + -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. -42 + -7w + 9w = -48 + -9w + 9w Combine like terms: -7w + 9w = 2w -42 + 2w = -48 + -9w + 9w Combine like terms: -9w + 9w = 0 -42 + 2w = -48 + 0 -42 + 2w = -48 Add '42' to each side of the equation. -42 + 42 + 2w = -48 + 42 Combine like terms: -42 + 42 = 0 0 + 2w = -48 + 42 2w = -48 + 42 Combine like terms: -48 + 42 = -6 2w = -6 Divide each side by '2'. w = -3 Simplifying w = -3
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