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Simplifying 4w + -8 = w + 7 Reorder the terms: -8 + 4w = w + 7 Reorder the terms: -8 + 4w = 7 + w Solving -8 + 4w = 7 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -8 + 4w + -1w = 7 + w + -1w Combine like terms: 4w + -1w = 3w -8 + 3w = 7 + w + -1w Combine like terms: w + -1w = 0 -8 + 3w = 7 + 0 -8 + 3w = 7 Add '8' to each side of the equation. -8 + 8 + 3w = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 3w = 7 + 8 3w = 7 + 8 Combine like terms: 7 + 8 = 15 3w = 15 Divide each side by '3'. w = 5 Simplifying w = 5
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