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Simplifying 7 + -4w = 5w + -2 Reorder the terms: 7 + -4w = -2 + 5w Solving 7 + -4w = -2 + 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. 7 + -4w + -5w = -2 + 5w + -5w Combine like terms: -4w + -5w = -9w 7 + -9w = -2 + 5w + -5w Combine like terms: 5w + -5w = 0 7 + -9w = -2 + 0 7 + -9w = -2 Add '-7' to each side of the equation. 7 + -7 + -9w = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -9w = -2 + -7 -9w = -2 + -7 Combine like terms: -2 + -7 = -9 -9w = -9 Divide each side by '-9'. w = 1 Simplifying w = 1
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