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