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Simplifying 7 + -4w = 2w + 5 + -8w Reorder the terms: 7 + -4w = 5 + 2w + -8w Combine like terms: 2w + -8w = -6w 7 + -4w = 5 + -6w Solving 7 + -4w = 5 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 7 + -4w + 6w = 5 + -6w + 6w Combine like terms: -4w + 6w = 2w 7 + 2w = 5 + -6w + 6w Combine like terms: -6w + 6w = 0 7 + 2w = 5 + 0 7 + 2w = 5 Add '-7' to each side of the equation. 7 + -7 + 2w = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 2w = 5 + -7 2w = 5 + -7 Combine like terms: 5 + -7 = -2 2w = -2 Divide each side by '2'. w = -1 Simplifying w = -1
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