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Simplifying -5w + -42 = -7(w + 4) Reorder the terms: -42 + -5w = -7(w + 4) Reorder the terms: -42 + -5w = -7(4 + w) -42 + -5w = (4 * -7 + w * -7) -42 + -5w = (-28 + -7w) Solving -42 + -5w = -28 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -42 + -5w + 7w = -28 + -7w + 7w Combine like terms: -5w + 7w = 2w -42 + 2w = -28 + -7w + 7w Combine like terms: -7w + 7w = 0 -42 + 2w = -28 + 0 -42 + 2w = -28 Add '42' to each side of the equation. -42 + 42 + 2w = -28 + 42 Combine like terms: -42 + 42 = 0 0 + 2w = -28 + 42 2w = -28 + 42 Combine like terms: -28 + 42 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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