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Simplifying 4 + -3w = 4w + w + -7 Reorder the terms: 4 + -3w = -7 + 4w + w Combine like terms: 4w + w = 5w 4 + -3w = -7 + 5w Solving 4 + -3w = -7 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 4 + -3w + -5w = -7 + 5w + -5w Combine like terms: -3w + -5w = -8w 4 + -8w = -7 + 5w + -5w Combine like terms: 5w + -5w = 0 4 + -8w = -7 + 0 4 + -8w = -7 Add '-4' to each side of the equation. 4 + -4 + -8w = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -8w = -7 + -4 -8w = -7 + -4 Combine like terms: -7 + -4 = -11 -8w = -11 Divide each side by '-8'. w = 1.375 Simplifying w = 1.375
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