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Simplifying 4(w + 2) = -2w + -34 Reorder the terms: 4(2 + w) = -2w + -34 (2 * 4 + w * 4) = -2w + -34 (8 + 4w) = -2w + -34 Reorder the terms: 8 + 4w = -34 + -2w Solving 8 + 4w = -34 + -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. 8 + 4w + 2w = -34 + -2w + 2w Combine like terms: 4w + 2w = 6w 8 + 6w = -34 + -2w + 2w Combine like terms: -2w + 2w = 0 8 + 6w = -34 + 0 8 + 6w = -34 Add '-8' to each side of the equation. 8 + -8 + 6w = -34 + -8 Combine like terms: 8 + -8 = 0 0 + 6w = -34 + -8 6w = -34 + -8 Combine like terms: -34 + -8 = -42 6w = -42 Divide each side by '6'. w = -7 Simplifying w = -7
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