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Simplifying -7(w + 8) = 2w + -2 Reorder the terms: -7(8 + w) = 2w + -2 (8 * -7 + w * -7) = 2w + -2 (-56 + -7w) = 2w + -2 Reorder the terms: -56 + -7w = -2 + 2w Solving -56 + -7w = -2 + 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. -56 + -7w + -2w = -2 + 2w + -2w Combine like terms: -7w + -2w = -9w -56 + -9w = -2 + 2w + -2w Combine like terms: 2w + -2w = 0 -56 + -9w = -2 + 0 -56 + -9w = -2 Add '56' to each side of the equation. -56 + 56 + -9w = -2 + 56 Combine like terms: -56 + 56 = 0 0 + -9w = -2 + 56 -9w = -2 + 56 Combine like terms: -2 + 56 = 54 -9w = 54 Divide each side by '-9'. w = -6 Simplifying w = -6
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