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Simplifying 3w + -7w = 5 + 4w + -10 Combine like terms: 3w + -7w = -4w -4w = 5 + 4w + -10 Reorder the terms: -4w = 5 + -10 + 4w Combine like terms: 5 + -10 = -5 -4w = -5 + 4w Solving -4w = -5 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -4w + -4w = -5 + 4w + -4w Combine like terms: -4w + -4w = -8w -8w = -5 + 4w + -4w Combine like terms: 4w + -4w = 0 -8w = -5 + 0 -8w = -5 Divide each side by '-8'. w = 0.625 Simplifying w = 0.625
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