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Simplifying -2(w + -6) = -8w + -42 Reorder the terms: -2(-6 + w) = -8w + -42 (-6 * -2 + w * -2) = -8w + -42 (12 + -2w) = -8w + -42 Reorder the terms: 12 + -2w = -42 + -8w Solving 12 + -2w = -42 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 12 + -2w + 8w = -42 + -8w + 8w Combine like terms: -2w + 8w = 6w 12 + 6w = -42 + -8w + 8w Combine like terms: -8w + 8w = 0 12 + 6w = -42 + 0 12 + 6w = -42 Add '-12' to each side of the equation. 12 + -12 + 6w = -42 + -12 Combine like terms: 12 + -12 = 0 0 + 6w = -42 + -12 6w = -42 + -12 Combine like terms: -42 + -12 = -54 6w = -54 Divide each side by '6'. w = -9 Simplifying w = -9
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