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Simplifying 3w + -4 = 5w + 7 Reorder the terms: -4 + 3w = 5w + 7 Reorder the terms: -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 = -2w -4 + -2w = 7 + 5w + -5w Combine like terms: 5w + -5w = 0 -4 + -2w = 7 + 0 -4 + -2w = 7 Add '4' to each side of the equation. -4 + 4 + -2w = 7 + 4 Combine like terms: -4 + 4 = 0 0 + -2w = 7 + 4 -2w = 7 + 4 Combine like terms: 7 + 4 = 11 -2w = 11 Divide each side by '-2'. w = -5.5 Simplifying w = -5.5
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