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Simplifying 4w + 8 = 2w + 7 Reorder the terms: 8 + 4w = 2w + 7 Reorder the terms: 8 + 4w = 7 + 2w Solving 8 + 4w = 7 + 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 = 7 + 2w + -2w Combine like terms: 4w + -2w = 2w 8 + 2w = 7 + 2w + -2w Combine like terms: 2w + -2w = 0 8 + 2w = 7 + 0 8 + 2w = 7 Add '-8' to each side of the equation. 8 + -8 + 2w = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 2w = 7 + -8 2w = 7 + -8 Combine like terms: 7 + -8 = -1 2w = -1 Divide each side by '2'. w = -0.5 Simplifying w = -0.5
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