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Simplifying -7w + 42 = -2(w + -6) Reorder the terms: 42 + -7w = -2(w + -6) Reorder the terms: 42 + -7w = -2(-6 + w) 42 + -7w = (-6 * -2 + w * -2) 42 + -7w = (12 + -2w) Solving 42 + -7w = 12 + -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. 42 + -7w + 2w = 12 + -2w + 2w Combine like terms: -7w + 2w = -5w 42 + -5w = 12 + -2w + 2w Combine like terms: -2w + 2w = 0 42 + -5w = 12 + 0 42 + -5w = 12 Add '-42' to each side of the equation. 42 + -42 + -5w = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -5w = 12 + -42 -5w = 12 + -42 Combine like terms: 12 + -42 = -30 -5w = -30 Divide each side by '-5'. w = 6 Simplifying w = 6
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