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Simplifying 4w + 20 = -2w + -40 Reorder the terms: 20 + 4w = -2w + -40 Reorder the terms: 20 + 4w = -40 + -2w Solving 20 + 4w = -40 + -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. 20 + 4w + 2w = -40 + -2w + 2w Combine like terms: 4w + 2w = 6w 20 + 6w = -40 + -2w + 2w Combine like terms: -2w + 2w = 0 20 + 6w = -40 + 0 20 + 6w = -40 Add '-20' to each side of the equation. 20 + -20 + 6w = -40 + -20 Combine like terms: 20 + -20 = 0 0 + 6w = -40 + -20 6w = -40 + -20 Combine like terms: -40 + -20 = -60 6w = -60 Divide each side by '6'. w = -10 Simplifying w = -10
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