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Simplifying 5(w + -7) = -2w + -42 Reorder the terms: 5(-7 + w) = -2w + -42 (-7 * 5 + w * 5) = -2w + -42 (-35 + 5w) = -2w + -42 Reorder the terms: -35 + 5w = -42 + -2w Solving -35 + 5w = -42 + -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. -35 + 5w + 2w = -42 + -2w + 2w Combine like terms: 5w + 2w = 7w -35 + 7w = -42 + -2w + 2w Combine like terms: -2w + 2w = 0 -35 + 7w = -42 + 0 -35 + 7w = -42 Add '35' to each side of the equation. -35 + 35 + 7w = -42 + 35 Combine like terms: -35 + 35 = 0 0 + 7w = -42 + 35 7w = -42 + 35 Combine like terms: -42 + 35 = -7 7w = -7 Divide each side by '7'. w = -1 Simplifying w = -1
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