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Simplifying 4w + 5 = -2w + -1 Reorder the terms: 5 + 4w = -2w + -1 Reorder the terms: 5 + 4w = -1 + -2w Solving 5 + 4w = -1 + -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. 5 + 4w + 2w = -1 + -2w + 2w Combine like terms: 4w + 2w = 6w 5 + 6w = -1 + -2w + 2w Combine like terms: -2w + 2w = 0 5 + 6w = -1 + 0 5 + 6w = -1 Add '-5' to each side of the equation. 5 + -5 + 6w = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 6w = -1 + -5 6w = -1 + -5 Combine like terms: -1 + -5 = -6 6w = -6 Divide each side by '6'. w = -1 Simplifying w = -1
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