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Simplifying 3w + -4 + w = 5w + -7 Reorder the terms: -4 + 3w + w = 5w + -7 Combine like terms: 3w + w = 4w -4 + 4w = 5w + -7 Reorder the terms: -4 + 4w = -7 + 5w Solving -4 + 4w = -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 + 4w + -5w = -7 + 5w + -5w Combine like terms: 4w + -5w = -1w -4 + -1w = -7 + 5w + -5w Combine like terms: 5w + -5w = 0 -4 + -1w = -7 + 0 -4 + -1w = -7 Add '4' to each side of the equation. -4 + 4 + -1w = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -1w = -7 + 4 -1w = -7 + 4 Combine like terms: -7 + 4 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3
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