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Simplifying 2(w + 6) = -4w + -30 Reorder the terms: 2(6 + w) = -4w + -30 (6 * 2 + w * 2) = -4w + -30 (12 + 2w) = -4w + -30 Reorder the terms: 12 + 2w = -30 + -4w Solving 12 + 2w = -30 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 12 + 2w + 4w = -30 + -4w + 4w Combine like terms: 2w + 4w = 6w 12 + 6w = -30 + -4w + 4w Combine like terms: -4w + 4w = 0 12 + 6w = -30 + 0 12 + 6w = -30 Add '-12' to each side of the equation. 12 + -12 + 6w = -30 + -12 Combine like terms: 12 + -12 = 0 0 + 6w = -30 + -12 6w = -30 + -12 Combine like terms: -30 + -12 = -42 6w = -42 Divide each side by '6'. w = -7 Simplifying w = -7
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